Document rBaXgRVngXgzM445LrBY1xva0

. os i a i TZARS' *? * UNITED STATES ENVIRONMENTAL PROTECTION AGENCY WASHINGTON. D.C. 20460 JUN 2 6 S985 OFFICE, OF POUCY. PLANNING AND EVALUATION Subject: Response to Dupont. Critique of Blood Pressure Papers ; From: Joel Schwarts Office of Policy Analysis To: David Weil Environmental Criteria and- Assessment Office The enclosed paper on site effects in the NHANES II blood pressure analysisis in response to the critique submitted by the Dupont Corporation. Please forward it to Richard Royall and James Ware. I would be! glad to meet with them to discuss it further. Dick Landis will be forwarding to you separately his additional analysis, using the Mantel Haensel technique for dealing with the sites, and controlling for age, body mass, and continuous lead exposure. /v*/' V JN* x/ N sVs X * V V > S' / ;, f J <vv ^ V' /' / /jjt, /<&. Oium) J MW*:, A t 1/ ('//" < <* *' // Ac. tf /S / V\ fV \y * ufuf m, j --1iSd ' , ' A - tic 0 /W' *<* "( n j f A <t-. <*?>j-J1'; w it .. / /1` t,j_-_______f " *1 , . J ', ce'- > y ^ tr., S?tY.h* 7 '7' ..Pff * n h UJk* U < A*,,`JC v-' ...r..". *T f ' j % H ~l,-V Ur-" O TEH 0412302 DUP050453354 Blood Lead, Blood Pressure, and Site Effects This memo addresses the question of whether the relationship between blood lead and blood pressure is confounded by the sampling locations used in NHANES. It consists of several parts. First I discuss some theoretical considerations and results using demographic variables rather than site variables. Second, I discuss the problem of measurement error and raispecification, and the implication of that for the use of site variables. Third, I discuss the results from controlling for individual strata in the analysis, and finally the results using indicator variables for each site. My first point is that the use of 64 dummy variables for analyzing the NHANES data is unreasonable* There are, depending on'"' which variables are entered in the model about 2260 observations without missing values for adult males (age 20 or over) in NHANES. That is an average of 35 persons per location. Using one dummy variable for each 35 persons absorbs a great deal of the variation of both lead and blood pressure, making it difficult to maintain a significant correlation. Moreover, location is obviously not a causal factor in blood pressure. At most it stands for some ommitted causal variable which is linked to blood pressure, and varies by site. The most obvious factor is in fact lead. (As my submission to CASAC showed, other strong correlants of blood pressure, such as body mass index, do not vary noticeably between sites.) Given the large number of nutritional, biochemical, personal and demographic factors that we tested, I believe its only reasonable to ask anyone who believes in TEH 0412303 DUP050453355 N 30984.01 an omitted confounder to at least say what it is, instead of using dummy variables that are known to be confounded with lead. The most obvious things the site variables stand for, besides lead, are demographic factors. Region of the country, income, race, degree of urbanization, educational level, and genetic background (family history of hypertension) all may vary from site to site. However, forcing all of these factors into the regression model affects neither the magnitude nor the significance of the lead effect, strongly suggesting that the sites are only proxies for lead . , Moreover, using dummy variables for each site presumes the ,'ii ` N sites to be fixed effects, whereas by the design of the NHANES, they are random effects, each being chosen from a large number of candi date PSU's. Thus, Dupont's treatment of sites was incorrect. Ignoring that problem, it is one thing to test whether there are unexplained differences in blood pressure between locations, and another to force terms for those locations into a model, whether or not significant, just to reduce the correlation between blood pressure and lead. Dupont's memo fails to mention that almost all of the site variables are insignificant. I will return to this point when I go over my results using site indicators. One final general point that needs clarification is that, contrary to the claims of the Dupont memo, there are not, in fact, 64 sites in NHANES.- There are 32 strata, with two psuedo-sampling units each, for constructing variance estimates, but some of the TEH 0412304 DUP050453356 cities visited comprise more than one PSU. There are three sites sampled in the New York SMSA, and two in the Chicago SMSA. More over the two PSU's for Los Angeles are not even geographically distinct parts of the metropolitan area. Rather the clusters of eight households were alternately assigned to the two PSU's for Los Angeles without regard to location. Thus, only 60 county or metropolitan areas were actually sampled. One major concern over using these locational variables [in the absence of any biologically plausible factor (other than lead) being associated with them] is the issue of measurement error and mispecification of variables. One impressive thing about the robustness of the relationship between blood lead and blood pressure to alternate specifications of biological variables is that both variables are noisy measures. The coefficient of variation of blood lead on the blind quality control pools was about 15% on the low pool and 8% on the high pool. Blood pressure is also a noisy measurement. Noise in the two variables downwardly biases estimated coefficients and significance levels. In addition, the blood lead measurement is only a proxy for the tissue lead concentrations, which is what effects the vascular smooth muscle. While in general blood lead levels parallel tissue lead levels, there are spontaneous fluctuations in the partitioning of lead between blood and soft tissue. Thus, some of the variation in blood lead does not represent Variation in soft tissue lead. The correlation coefficient between blood lead and lead excreted after provocative EDTA testing is about .0.8 TEH 0412305 DUP050453357 Obviously lead is still significant in all of our regressions despite these variances. However, the use of 64 site dummies in the model can interact with this problem in two ways. Firsb, just the presence of 1 variable for each 35 people can explain a lot of the variance of both blood lead and blood pressure, exacerbating the problem of a significant amount of the variance of the two variables not representing true variance. Secondly, the fact that blood lead levels fell over time and varied seasonally means that a larger proportion of the between site variance in blood lead is *true variance in underlying body burden, and a greater proportion of the within site variance is measurement error and spontaneous fluctuation in partitioning. This is particularly true because each PSU was mesasured over a 6 week period. PSU dummies thus eliminate both seasonal as well as temporal variation in blood lead. Thus, a significant downward bias is introduced by inserting in the model a large number of dummy variables more highly correlated with the true variance in body lead burdens than with the measurement error and mispecification of body lead burden. Not withstanding these points, I have performed a number of analyses that 1 believe demonstrate that the lead-blood pressure relationship is not due to locational effects. First, as noted above, I have rerun the regression with variables tor region of the country, degree of urbanization, income, educational level, residence in central city, and poverty index. The results, shown on Table 2, indicate that lead has the same coefficient and signi ficance level as it has on Table 1, showing the baseline model. TEH 0412306 DUP050453358 Secondly, I have included dummy variables for each of the 32 strata in the NHANES II Survey. The NHANES II Survey has 8 sampling strata from each region of the country. Each of the strata -represent counties with similar populations. Besides size and region, the other criteria used to group candidate PSU's into strata were median income, percent below porverty level, rate of growth, and percent hispanic or of races other than white. There are two PSU's from each strata in the NHANES sample. Thus, the strata differ from each other on region, urbanization and other demographic factors, but the two PSU's in each strata are matched on those factors. The use of strata dummies rather than site dummies should adequately represent the different locational and demographic factors the strata represent while reducing the, collinearity with lead from using's variable for every site. The results are shown on Table 3. As indicated in the table, lead is still significantly related to blood pressure, with only minor changes in the magnitude of its coefficient. The fact that lead is still significant even after controlling for. all 32 strata suggests that site effects are not confounding lead's relationship to blood pressure. However, as the next step in my analysis, I have created dummy variables for each site, and then used maximum r 2 stepwise regression to select those sites where blood pressure was significantly different. This approach allows site variables to come in when they contribute to R2 and the site blood pressure is significantly different from the intercept. Unlike the Dupont approach, it does not force insignificant site. vm*** : w>- .n,\^ It** TEH 0412307 DUP050453359 -6 variables into the regression model. Essentially, this approach says that some sites may be unusual, but does not assert a priori that they are. It still over controls for sites in that out of 64 PSU's, 3 to 4 will be significant by chance alone. The results of this stepwise regression are shown on table 4. As indicated lead is still significantly related to blood pressure after controlling for all significant site effects. Finally, sites were also selected by backwards elimination. The results at step o and after all elimination, are shown in tables 5 and 6. They show again that lead was significantly related to blood pressure in the final model, and that lead was in fact significantly related to blood pressure in the intial model with 62 PSU variables., (one PSU is in the intercept, and one PSU was completely collinear with the other variables and had a coefficient of zero. Given a dozen or so nonlocational variables and an average site sample of 35 with some sites only having 15 persons sampled, this is not surprising).. The fact that lead was significant when controlling for 63 sites, and most, of the sites were not significant, should surely settle the matter of the robustness of this relationship. For completeness, I have run similar regressions using just 40-59 year olds. Table 7 shows the results of the basic model. Table 8 shows results using 32 strata as variables. Table 9 shows the results using maximum r 2 stepwise regression and dummies for all PSU's. Table 10 shows the results of forcing all locations in the model. In all cases, lead is significantly related to blood pressure. TEH 0412308 DUP050453360 DISCUSSION Several comments occur to me. First, the blood pressure relationship is essentially unchanged when controlling for all of the demographic factors that were insignificant. Second, that at all stages of the analysis, the systolic blood pressure seems less sensitive. This may be because there is less measurement error in systolic blood pressure, which gets back to the mismeasurement: point I raised earlier. It is noteworthy that the 40-59 year old subgroup, where age is less of a confounder, is also less sensitive, there is very little change in the regressions with strata dummies, and the size of the coefficient of lead does not decrease as much when all of the PSU's are entered as it does in the regressions on all adult males. This reminds me of the fact that in primitive cultures (e.g bushmen, pacific islanders) blood pressure does not increase with age. The effects being assigned to age are in fact not due to the natural aging process, but in fact merely represents the cumulative damage done to the cardiovascular system by other, causal factors, in industrialized society. Lead may well be one of these factors that age is standing for. TEH 0412309 DUP050453361 TABLE 1 BASELINE REGRESSION RESULTS FOR. ALL >VER 20 SYSTOLIC AND DIASTOLIC BLOOD PRESSURE NOTE: FAMHYPER means family history of:' hypertension HYPERMED means on hypertensive medication TEH 0412310 DUP050453362 N 30984.02 DEP VARIABLEJ BHZf'lA snuh'ce PF SUf' OF Si-'UAPES HOUEL 19 HK0K 222 7 C TOTAL 2296 20041i542 533367139 7337*14621 k g u t i'b PEP' NEAN C.Y. 157,51 62, 345990 lb.79,364 ftEAN SQUARE ! 054 8081.5 2395.0 06. R-SliUAkE AOJ k-SG F VALUE 'ia,ou2 0,2731 0,2bt>9 PR0>F 0,0001 - VA*1 a ^-LE In THP.CEP AGEYRS AG$U cs * X L0G2 l'-G LHIAUTC ALU3U LSCHUL CALGI'ih UltTVlTC ZINC MEMtKiLut' TRICfcfH FAriNtTE^ CDP FEE HEINmT HYPf k ' E l> , -R-A-C E L!- ) v.... PAKihETEw UF EST1 'ATE STANDARD er r o r 1 91 ,S5`>710 32,73t)31 1 ii, fjfey u 0, L07tft 1 'i ,0 0 c G t 6 9 7 n , 0 o11 ibil* t f.,734h61 0,075359 1 3o,M7q511 V,o7Sid5 1 1, t S1?25 0,271Caft 1 0,0r'2i 1(j 3o 0 ,.oocP5fti?ie 1 3.60<':15ti 1,11 891.3 1 -0,053137 0,01&fc4 7 1 *0 CO ol> 17 351*2 7,,ft37rit-0 7 1 -0,ulCp56 0 , C o2.7 1 677 l 1 ' ,333o72 0,097705 l 0,125575 0,C'2)7u 7 1 0 .,011794 c-otmi46.j2 1 2,1 j}793b 0,443b5C l -n, 237405. 0,.07'u2>#l, 1 14,'U *456 3,22u52? 1 5,43972a 0,<<2e72 1 2 ,-*97^5* 0,612e1 i <2.95604sN ue257ei T FOR HO; PAPArETEksO 2.797 8,119 -7,064 9,749 -4,063 4.247 4,919 3,217 -3.154 2,271 -3,7^2 3,415 5,765 2,866 4,929 -3,37-7 4,477 6,54 0 3,313 4,724 PROP > IT! O.OOS2 o.oooi 0,0001 0,0001 0,0001 0,0001 0,0001 0,0013 0,0016 0,0232 0,0002 0,000b I/.0O0I 0,0042 O.OCOi 0,0007 0,000J 0,0001 0,U0u9 0,0001 TEH 0412311 DUP050453363 DEP VARIABLE* bP2SYS SOURCE OF SUM OF SQUARES MODEL *KOR C t o t al 11 2235 2249 402563*411 131</u 15m37 17215796796 MOOT f`5E OFP MEAN C v, 2429,32c 126,274 1693,604 M A fSOI) a HE 365967126 5901637 R-SiiUAHE a DJ H-SQ F VAL'-'E 62,011 0,233b 0,23 OT PBO0>F o.ooor VARIABLE Of PAftA:iPTEK ESTIMATE 5T Af'UARD T FOR HO j tHHOR PAKAi'-ETEHsO I^TEmCEP A&EYh S A5LSU flMl LOGZIn C AttiSy CALCl'JN COFFEE FAfiHrKEB h eig h t HYPEi-<tD LL : vV 1 65,Q31972 1 0,Si>61o 1 0,006*94956 1 1,27*647 1 *o,29n.692 1 0,062ar>37o l ,000^027146o 1 -u,373316 1 3,313669 1 i*,469517 1 ^,7e?-590 l 5,23to73 13,476t65 0,157323 0,091730631 0,096606 2,1**7299 0,0012961*76 00000119754 0,105360 0.6962*0 5,0o3'.`b7 1,29553 ",930371 ,o92 2,6f'C 5.139 14,431 -3,664 6.300 2,217 -3 ,5"3 4 ,J59 3,692 6,7*4 5.5*5 pr o s > m 0,0001 0,0042 0,0001 O.OOC1 0,0001 0,0001 0,0235 0,0004 0,0001 o.ouo? 0,0001 0,0001 TEH 0412312 DU PO50453364 TABLE 2 ALL MEN OVER 20 RESULTS WITH. INCOME, EDUCATIONAL- LEVEL, REGION OF THE COUNTRY, AND DEGREE OF URBANIZATION NOTE: R1 means northeast R2 means midwest R3 means south West is inthe intercept SIZE means degree of urbanization coded 1(cities over 3 million) to 8(rural areas under 2500) ED means educational level ( didn't finish grade school, finished grade school, finished high school, finished college) INCOME (under 5000, 5-15,000, over 15,000) TEH 0412313 DUP050453365 N 30984.03 PEP VHilAnLEl SP2H1A SiiU^CE OF HPfFU 25 ERROR 2132 C TOTH. 2157 ROUT MSE DE P M*m c.v. SUM OF sq uar es 1909409779 5072222076 69*7691055 1583,342 82,334043 1873,351 MEAN SQUARE 76376791 2301905 R-5'3U ARE ADJ R-S9 F VALUE 32,066 0,2733 0,2647 PRQB>F 0.0001 VAKtA'-^LE I-j TEKCEP AG-EYKS Ar'?(5 b*-i tnuZI^C L'UjViTC a i.6 39 L^CHUl. 5 'tiKWUM CALCl-JM DIE T v IT C ZI-MC HFtmULU * 7;jioef'N Fi COT PEE HF IGUT HYPE^^EO r ac e LL K1 K? R3 SIZE UCCME ED PARAMETER OF ESTIMATE STANPAKO ERROR t 91,309339 33,409495 1 C,*37379 0.1U064 1 -0,00794721 0,001209621 l 0.77-U03 0,077670 1 -3*.2t>9584 9,240763 1 1,230624 0,276099 1 0,00401397b 0 ,0009611767 1 3.277633 1,135349 1 -0,055426 0,017151 1 ,0000*175909 7.76636E-07 1 -n,010493 0,002743141 1 0.329977 0,099399 1 0,127723 0,022243 l 0,010674 0,0042403b! 1 2,263054 0,451116 1 -0,215501 0,071272 1 15,163679 3,370163 1 5,011146 0,042645 t *424.243 0,860056 1 C?,969793\ 0,656125 J -0'779-3~&S-Q"' 0.640721 1 0,321007 0.622316 1 -0,253b4S 0,626576 1 -0,035966 0,066179 1 *0,359460 0,363202 i -0,489642 0.348652 T FUR HO* PARAMETERS 2,735 7.540 6,569 9,941 3,922 4.457 4,555 2,0fl7 -3,232 2,265 3,b2S 3,3?<J ` 5,742 2,517 5,017 -3,025 a,a*9 5,947 2,821 4,526 -1.236 -0,516 -0,404 0,4*6 -0,990 1,404 PROii > ITI 0,0063 0,0001 0,0001 0,0001 0,0001 0,0001 0.0001 0,0039 0,0012 0.0236 0,0001 0,0009 0.0001 0,0119 0,0001 0,0025 0,0001 0,0001 0,0040 0,0001 0,2165 0,6060 0*6066 0,6832 0.3224 0,1603 TEH 0412314 DUP050453366 DEP VARIABLE! BP2SYS 5'iU^CE DF SUM OF SQUARES HnoeL EWK^K 17 21 49 c t o t a l 2157 HOOT ;<sc l >e p MF'AN c.v. 39*2349530 12455895216 16358244753 2412,574 120 ,,3*5 1H79.177 MEAN SQUARE 229549973 5620512 R-SfJUARE AOJ R-$0 F VALUE 39,436 0.23F6 0,2325 PROB>F 0,0001 V.*.k TA-<LE 3MEWCEP AGEYRS A['Sy a**! LCb/i^c Al.OPU CALCIUM CnfFtE FAflHYPtH Hr IUMT HYPt H"Ef> LL HI HP K3 S1 IF, I^cnne en PARAMETER DF e s t ima t e STANDARD ERROR 1 73.513300 13,676346 1 o.'it313 0,167103 l 0,00a45"90d 0,001840373 i 1.25U53 0,090529 1 -T',9'4l73b 2,195370 1 0,0*o44l7So 0,001331242 i .00000275794 ,00*00121252 1 -0.414420 0,106849 ! 3,09174 3- 0,704729 1 lb,796596 5,212663 1 e.313200 1,314970 1 v4,649709 1 1V4-1J419 0.9936-71 0,994097 1 3,32<>~y2 0,963625 1 -0.16*257 i 0.301996 0.969&5S 0,136209 i -0,29*310 0,563999 1 -1,129133 0,536051 T FOR HO I Pa HAmEIERc O 5,297 -2.5*3 4,59b 13,909 -4,027 6,341 2.275 -3.879 4,307 3,222 6.322 4,679 1,4 26 3,455 -0.174 2,250 -0.529 -2.106 PROS > ITI 0,0001 0,0124 0,0001 0,0001 0.0001 0,0001 0,0230 0,0001 0,0001 0.0013 0,0001 0,00<n 0,1541 0,0006 0.8623 0,0245 0,5969 0,0353 TEH 0412315 DUP050453367 TABLE 3 ALL MEN OVER 20 CONTROLLING FOR SAMPLING STRATA TEH 0412316 DUP050453368 N 30984.04 DEP VARIABLE! 0 S3URCE DF OfiGEEL SO ERROR 2196 C TOTAL 2246 t ROOT M3E DEP MEAN C.V. BF2D1A SUM OF SQUARES 2410661977 4=27102644 7337814621 1497.897 EC.345996 1819.028 MEAN SQUARE 48213240 2243694 R-SQUARE ADJ R-SE .F VALUE 21 s 0.3285 0.3132 VARIABLE Dr PARAMETER ESTIMATE STANDARD T FCF; HOs ERROR FARAM.ETEF.-0 c ( INTERCEP ASEYRS AEESQ SKI LGGIINC LGSVITC AL5SQ LSCrOL SKECNUM CALCIUM DIETVITC 72 INC HETCSL2B TRICEPR FAMHYPER CC"=EE HEIGHT HYFERKEE RACE LOCI LCC2 LCC3 LDC4 L0C5 LCC6 L0C7 LCCS L0C9 LCC10 LOCI 1 LOCI 2 LOCI 3 L0C14 L0C15 LOCI 6 LOCI 7 LOCI 8 L0C19 L0C20 LCC21 LCC22 L0223 L0CC4 LCCI6 LCC27 LDC2E L0C29 1 86.49=50? 31.897330 1 0.33833 C.102089 l -0.00792347 0.001105993 1 0.770175 0.073849 1 -T-.e-v60 S.855553 1 1.21429S . C.266041 1 0.004=86976 0.0CCS473463 1 2.74=590 1.09=394 1 -0.04=138 0.016497 1 .00000142472' 7.463765-07 1 -0.01 Cl67 0.002653499 1 0.2=0774 0.095351 1 0.114433 0.0216=6 1 0.010348 C.004041507 1 2.053694 0.433107 1 -0.212733 C.068890 1 13.11=232 5.161750 I 5.469599 0.807043 1 2.713463 0.842319 1 -2.204078 1.139634 1' 0.606139 1.160206 l 4.C23SS5 1.J98924 1 3.697475 0.990936 1 -1.140654 1.243662 1 -2.557292 1.345=55 1 0.104=36 1.295=00 l -2.6AC254 l.C41733 1- 3.243974 I.223225 l * 07B7ZZ 1.224830 1 o 522494 1.06S633 1 -2.249564 1.115000 1 4.244303 I -5.342127 1.361645 1 1 --ts Z2 1 3 05!TCww lrcsrsc 1 -4.163947 1 3.127097 1.319138 0.992209 1 2.110825 1.241902 1 0.247288 1.315814 1 -1.3475B1 1.164800 1 6.710=96 1.293417 1 -1.350472 1.125165 1 -1.365455 1.171221 1 -4.24S555 1.658571 1 -4.604S6S 1.115387 1 3.585606 1.30451 1 -1.698953 1 . 1S92S5 1 0.463024 ^ ^t SSv 2 1 0.506636 ' 1.216508 -0.221643 1.245761 -1.031160 1.218031 -2.163910 1.063825 2.217851 0.647621 .E7207E-07 =9 *? 8.217' -7.164 10.429 -3.718 4.3=4 5.331 2.501 ***CSvO 1.90S -3. S24 3. 050 3.275 2.560 4.720 -3.03? 4, 14? 6.777 Z m cm -1.934 0.522 3.381 3.731 -0.917 -1.922 O.OSi -C. 57-5 2.641 1.6=7 0.4S? -2.018 3.117 -4.700 2.465 -3.157 4 S2 1.700 0.188 -1.157 5.18? -1.200 -1.166 -2.562 -4.128 2.914 -1.42? 0.470 0.417 -0.178 -C.S47 -2.034 3.425 FRuS>F 0.0001 FRC& > :t i 0.0067 0.0001 0.0001 0.0001 0.0002 O.COC1 C.0001 C.C125 :. o.OSes 0.0001 0.0023 0.0001 0.0105 O. ?0C 1 0.0020 0.0001 0.0001 0. 00 13 0.C532 C.oOlA C.0007 0. :!<*. OC 0.3392 :. of 0.c355 0.0113 0.0023 0.CS9S 0.=249 0.0433 0.00 19 r. 0. 0138 0.0-016 0.0016 C.OS93 O'.. SCO9 0.2474 0.0001 0:. 2433 0.0105 0.OOOl 0.0-036 0. 1533 0.6383 C.6770 0.8588 O.2973 0.0421 0. 0006 1.0000 TEH 0412317 DUP050453369 DEP VARIABLE! o SOURCE OF OMODEL 42 ERROR 2204 C TOTAL 2246 0 ROOT MSE DEP MEAN C.V. BP2SYS SUM OF SQUARES 4721760376 12494036422 17215796798 23B0.924 128.274 1856.128 MEAN SQUARE 112422866 SSoBBOl *. R-S\1UARE ADO R-SQ F VALUE 19.832 0.2743 0.2604 PROB>F 0.0001 J*,, i.- . * m --15 VARIABLE ) Of INTERCEP AGEVRS : AGESQ BMI ! LOGZINC ALBSQ CALCIUM : CDFFEE f FAMHYFER ' HEIGHT j HVrERMED j LOCI O O' L0C2 ' L0C3 * L0C4 1 LOOS L0C6 L0C7 LDCB L0C9 L0C10 Jo LOCH -- LOCI2 . LOCI3 j, LOCI 4 1 LOCI3 , LOCI6 ; L0C17 LOCI 8 ' LOCI9 , L0C20 o j, i 1 L0C21 L0C22 LOC23 L0C24 L0C25 LQC26 ` L0C27 l1 1 PARAMETER OF ESTIMATE STANDARD T FOR HO: 1 ERROR PARAMETERS FROB > IT! I 72.651416 13.442201 1 -0.454229 0.155397 I 0,003359766 0.001707302 1 1.256657 0.0S7671 1 -8.893992 2.137958 1 0.00S636816 0.001304348 1 .00000215691 .00000118527 I -0.347059 0.104995 1 3.311628 0.691076 I 17.428677 4.973843 1 8.397995 1.279889 1 -3.651484 1.757160 1 -3.830103 1.826635 1 S.8S9649 1.39S765 1 2.618794 1.562940 I -2.846423 1.959755 1 -4.751148 2.127933 I 4.710306 2.053041 1 -0.46SS97 1.647451 1 2.774705 1.941981 I O.S6E742 1.933437 I -1.0B5997 1.696109 1 1.769556 1.769383 1 5.3IS631 2.143333 I -6.23S360 1.800275 1 -0.948343 1.962503 1 -3.571559 2.092310 1 -0.613658 1.571650 I 5.2481IS' I.965S1 1 1.833871 2.060980 1 -1.00BSB0 I.845447 1 2.268042 2.034765 I --3.370599 1.750352 I -3.747147 1.843723 1 2.215146 i -2.2S8679 2.628885 1.762717 I 5.201344 1.951021 1 -7.030300 1.887161 1 -3.999159 1.563444 5.405 -2.923 5.189 14.334 ' -4.160 6.622 1.820 o05 4.792 3.504 6.562 -2.078 -2.097 3.102 1.676 -1.452 -2.233 2.294 -0.285 1.429 0.294 -0.640 1.000 2.476 -3.465 -0.483 -1.707 -0.390 2.670 0.890 -0.547 1.115 -1.893 -2.032 0.843 -1.298 2.666 -3.725 -2.558 17*34 FRIDAY. JUNE 21. 1985 5 0.0001 0.0035 0.0001 0.0001 0.0001 0.0001 0.06B9 0.0010 0.0001 0.0005 0.0001 0.0378 0.0361 0.0019 0.0940 0.1465 0.0257 0.0219 O.7760 0.1532 0.7687 0.5221 0.3174 0.0134 0.0005 0.6290 0.0880 0.6962 0.0076 0.3737 0.5348 0.2651 0.0585 0.0422 0.3995 0.1943 0.0077 0.0002 0.0106 SAS VARIABLE OF PARAMETER ESTIMATE STANDARD T FOR HO!ERROR PARAMETERS PROS > !Ti L0C29 L0C30 L0C31 " ^ '"COBS? \u % RESTRICT 1 2.065686 1 8.610894 1 0.269317 1 -1.912363 1 4.564323 -1 -.0000033387 1.926394 1.973966 1.928927 1.602934 0.986449 1.072 4.362 0. 140 -1.136 4. 627 0.2837 0.0001 0.BB90 0.2559 0.0001 1.0000 TEH 0412318 DUP050453370 TABLE 4 ALL MEN OVER 20 USING MAXIMUM R-SQUARE STEPWISE REGRESSION TO SELECT SIGNIFICANT PSU'S TEH 0412319 DUP050453371 N 30984.05 $*S 12110 FRIDAY* "AY 20*- ! MAXIMUM PSQMARE IFR0VEh NT FOR DEPENDENT VARIABLE BP2DIA LGC36 ENTERED R SQUARE 0.36153927 ,, Ct^J 51,07217816 DF "EIGmTED $$' HEAR SJUARE F PR08>F REGRESSION ERROR t o t al 43 220S 22 08 2693522332.15716170 46" 5991042,94539200 7339513375,10255400 61709821,67807352 2125166,00587093 29,0 O.OOOI b val ue STD ERROR TYPE II 88 F PRPB>F INTERCEPT AGEYRS AGESO nm L0GZ1NC LOGVITC ALSO LSCMOL S"0"NUH OIETVITC 7 INC HEMOGLOB TRICtPR FARHYPER COFFEE HEIGHT my PERn ED RACE toci L0C4 toes LOCI 2 LOCI 3 LDCI4 LOCI 5 LOCI* LOCI 7 LUC 20 L0C21 LUC26 L0C26 L0C31 L0CJ2 L0C35 L0C36 LOCaO LDCai L0C42 L0C55 L0CS6 L0C57 L0C60 L0C63 LL 95.0H40S196 0,71*36075 0,or>7#ai?9 0,7fi4i32i9 -33,63520444 1 ,1*64X345 0,00472567 2,41526564 0,<ia24121 0,009(s9159 0,31263216 0,10123470 0,0 1031693 1.95766806 -0.20710116 11.63676063 S.aSl1S1S4 2,569413264 -2.93331235 3,89735982 -3,73109954 -5,16001637 5.01144962 -10,15976671 3,70569778 -6,13918590 6,92450220 -5,0147lS24 9.67215943 7,06131366 3,77902952 -5,69935596 3,51313037 6,21649088 3,12137175 -4,83491069 0,27284700 4,97799141 -3,15187028 0,33254940 -6.12069187 j - ~ 022773 ( 3.81$940.8,9 7 039931$") : T"E BEST 43 VA-1 ABLE"oSirE"1p0yND, 0.09923520 0,00107597 0,07178647 6,57086040 0.25627024 0,00002226 1,06676214 0.01598485 0,00258298 0.09227883 C,02098462 0,00392564 0,42174006 0.06670595 3.06541U42 0,78229690 0.7e246140 1.43676242 1.26516443 1,6*226048 1.58519215 1.57379973 1,48936222 1.7697757 1,64311798 1.44416977 1,61515254 1,64807889 1.61703570 1,22290500 1,66806176 1.44053647 1.55459254 1.55207571 1.64341433 1,65028719 2.308300X1 1,55511709 1.67363853 1,48734348 1,73657756 1,76860635 0,61640606 136861410,5399863? 101795153,11394582 2r>3563l76,95916853 3308*444,68327499 43094769,61517487 70194276.54811149 ISB11632.35707536 14961357,56581600 29918638,75090298 24393422.0S71063S 89459470,47064224 14683935,7439066S 45791119,44136249 20464660,40841942 3062525b,78B90515 103187278,05479278 16192250,60654-485 8857632,68117221 I90452F8,84706062 10453941.05213883 22521562.80121089 25126337,68960849 98891 659,39036542 9320575,58391400 29660004,61386860 488577S1,62134628 23884547,47237063 73195395.18135657 35034102.69019053 20294015,48641908 24*09622.68794501 12639586.86053442 3C03976,54093925 6590812,19565778 18343976,65726367 14246510,00593707 923?55.70616249 8729700,84374551 14241468.46847252 35991481,63852198 33165118,90450663 9 E 856 7.9,88326221 16240219.85234127 64,40 47,90 119,31 15,57 20,47 33,03 7.4 7,05 14,08 11.48 23,27 6,91 21,55 9.64 14,41 48,55 7,62 4.17 8.96 4.92 10.60 11, 82 46,53 4,39 13,96 22.99 11.24 34.40 16,86 9.55 11,67 5.95 16,00 4,04 8.66 6.70 4,34 ,ti 6,70 16.90 15.61 4,65 7.64 0,0001 o.oooi 0,0001 0,0001 0.0001 0.0001 0,0064 0,0080 0,0002 0.0007 0,0001 0,0086 o.oooi 0,0019 0,0002 0.0001 0,0058 0.0613 0,0028 0,0247 o.oou 0,0006 O.OOOi O.f-i J4 0,0002 0,0001 0,0008 0,0001 0,0001 O,O0?0 0,0006 0,0148 0,0001 0,0445 0.0033 0,0097 0,0372 0,0428 0.0047 0.0001 0.0001 0.0311 0.0058 \f f? TEH 0412320 DU P 050453372 8*8 J5l0t SATUOAY, MAY H*XXUH R.SQUARE IMPROVEMENT FOR DEPENDENT VARIABLE BP2SYS RIAflLE LOC37 ENTERED R SQUARE a 0,316*88?? CCP3 *2.72535*22 OF w eig h t ed s s HEAN SQUARE F PR08>P REGRESSION ERROR TOTAL 36 2216 225* 5*78210201.23355700 116313*3661.26021600 1730955*062.*9377*00 152172505.5998210* 533*239,79317*13 28.53 0,0001 9 VALUE 3T0 ERROR TYPE n SS F- PROB5F INTERCEPT AGEYR3 AGE SO BMJ L0G2INC al bsq f akhyper COFFEE HEIGHT HTPERHED LOCI L0C2 L0C7 LOCH L0C13 LOCI* LQC20 L0C21 L0C26 L0C27 L0C31 IOC 35 L0C37 L0C38 LOC*0 L0C3 L0C*7 L0C*8 L0C*9 L0CS3 L0C55 L0C57 L0CS9 LOC60 - L0C62 L0C63 LL 70.7207117* -0,52525*t 0.00981728 1,25695879 7.61*50012 0.00938173 2,8961693ft 0,32Sl070 17.*1259997' 8,81779773 -5.05799956 -6.*3573692 7,80*95115 5.73*89391 5.53502*30 -12.9110*987 -7,lft993ft3tt 8,07026059 10.39217117 -9.0*7*6557 -6,5778*567 9.*3078211 -5,8175371* -8 . ftht 2971 * -6,613*1363 -10.505=3552 -5,8*179363 -8.77963131 -5.51*120*3 -8.69095089 -7.29522917 -5.*0359091 -7,0*115687 -ll.29369fc5 ,----- lJL,2228ft689 ( 5.ft%?6415 6620*13^ 0,15008*1*- 0.00165136 0.08*9*613 2.07*75293 0.00125711 0.66633522 0,10155099 *,79208118 1.23211272 2.26926617 2.235*1823 2.5*650116 2.3*530062 2`,*8556572 2.3*817211 2.5*937125 2,60113260 2,67**635* 2.5227*032 2.62600255 2**2857737 2.90*3*613 2.70930687 2.5915*5*8 H.*(17**907 2,75016591 3.*86*8762 2.10323158 3.21790*7* 2.*S217*92 2.33973962 2,83576252 2.7*273921 2.92761063 2.7965817* 0.9*366995 65332223.9019389 1885266S9.0*06692 1*71*92179.9*52*22 718*9302.P1AS928 297093516.6203599 100168633,5099ft37 5*632320,5653969 70*28987.7632*23 273207059.R97ft83 26500815.033529* **213156,8232307 5*110086.8568*16 31B9S269,26*1595 26*52157,320115* i61263'395.1819277 *2192665.P3592U2 513*7697.883**3* 69722266,566903* 66616619,3105*7* 33*69529.51*003* 80*38519,796*0*1 21*01986,1657ft9 5*515752.88*1023 56925797.7900701 96291287,6856232 2*068398.5986187 33825859.2501227 3666*926.2726585 38909957.721*296 *7211*69,6060111 28*51313.992*837 328867*2.5852379 90*39527,361*780 18*610668.269S818 22760886.903*1*2 80330187,218621* 12.25 35.3* 219,62 13.*7 55.70 18.78 10,25 13,20 51,22 ,9? 6.29 9.39 5.98 *,96 30.23 7.91 9,63 13.07 12,86 6.27 15,08 ,0t 10.22 II. 05 18,*3 *.51 6.3* 6.87 7,29 8,85 5.33 6.17 16.95 3*.61 *.27 15.06 0.0005 0.0001 o.noot 0,0002 0.0001 0.0001 0.001* 0.0003 0,0001 0.0259 0.00*0 0.0022 0,01*6 0.0261 0,0001 0,0050 0 ,,0 01 9' 0.0003' Q',.00 03' 0.0123 0.0001 . 0.0*53 o;.ooi*0,0009 0.0001 0.0338 0.0119 0,0088 0,0070 0,0030 0.0210 0,0131 0,0001 0,0001 0.0390 0.0001 'DEL IS THE BEST 36 VARIABLE MOOEL FOUND. TTTf H l TEH 0412321 DUP050453373 TABLE 5 ALL MEN OVER 20 BACKWARDS STEPWISE REGRESSION USING PSU DUMMIES STEP 0 ALL DUMMIES IN TEH 0412322 DUP050453374 N 30984.06 Y e*CKw*RD ELIMINATION PROCEDURE FOR PEPEFGEn T VARU6LE 8P2DI4 u s e f v a t io ms d e l e t e o d u e t o h is s in r Va l u e s , 12110 FKIOAV# "Ay 01 RJARl ES ENTERED REGRESSION ERROR t o t al in t er c ept AGEYS AGESO AMI LOGZINC LOf.VITC ALHSR LSCHOL SKHKNUM CAtCIUN METVITC ZINC fcEHOGLOS TRICEPS --T? fAXHyPER --I* COFFEE HEIGHT HypR*iED RACE LOCI L0C2 L0C3 LOCR L0C5 L0C6 LOCT l oce LOCR L0C1C LOCI I LOCI 2 LOCI 3 LOCt LOCiS L0CI6 U0C17 LOCI# LOCJR LOC20 L0C21 L0C22 L0C23 L0C24 L0C25 R SQUARE * 0.37454826 CtP) * 82,00000000 OF *EIGHTEt> SB me a n SQUARE at 2167 22a 2749001957", 64870830 <159051 1417,5345O0 7339513375,10255400 3393*295.77304084 2110371.67395194 A VALUE STO CRHQP TYPE II. as 9t.7il4526 o,7R5aoto -0,OO739t7 0,78656070 *33,71997432 J,160 6 0155' 0,00511053. 3.09465436 0,04452715 0.00000125 -0,01021942 0,30715342 0,10262665 0.01046569 1,91766655 *0.17724012 11.93520411 5.43926007 2,24686253 -1.86147256 1,93266553 1,6*1*4526 4.62554106 -2.51191838 -2,91953016 3.09123966 >0,46067165 3.11754974 1,64296685 1,20631630 -4,20293384 6,37919557 9,41948909 4.73371443 -5,25076043 7,87026897 2,78309191 0.51164212 -4,56640575 10,59041446 0,42854431 1.55910552 0,00000000 -1,68005963 0,09980927 133791011.07669510 0,00108159 100212772,30811022 0.07243925 200345217,16671210 8.68694097 31903838,43016373 0,26102274 43336312,60220083 0,00084392 I .1)8424669 77683353.23663040 17259427,26722727 0,01619151 16020547,33670382 0,00000073 6346829.82306690 o,ro26205 32209042,90630933 0,09344631 22886963,42529907 0.02170577 47540453,91677050 0.0-0398039- *4566771,40270693 0.428381 61: 026G52,86052243 0.06759456' 14504732,70723311 3". 10652691' 31268829.37391137 0,70783049 100074758.59702622 0,65084016 15303619,05250747 2.00451474 1689294,94418625 2,09227058 1807500.68119535 2,43581936 1204386,42690618 1,96309036 11525034.47711854 2.25649308 2,65309403 2625094.16020101 2563652.5B617S83 2,21000521 4141584,82675127 2,03306305 108077,97617729 2.34166567 , 3629671,72395379 2,08857748 1310866.85802038 2,10513054 695611.08001284 2,18511893 7037131,02066478 2,171979 18020125.06867241 2,12511090 2.33069992 01618663,21762163 8730432,75118121 2,22588932 2.06446458 11787981,23296685 30198979.80364389 2.53621187 2550857,48886983 2.5726961$ 83848.86924832 2.20525023 9083127,37307610 2.20912005 00900074,40321720 2,12238727 112266.37454559 2.33621612 943467,94329254 0,00000000 2,26334607 o.oooooooe 1167211.689T8538 F 16.02 PHCB>F 0.P001 --; F 63.'l6 7.31 116.29 15.06 ?0.46 36.67 8,15 7,56 3,00 15.21 10.80 22,44 6,69 20.04 6,88* 1 4,76 47,67 . 7,22 0.90 0,85' 0.60 5.44 1.24 1.21 1.96 0.05 1,71 0,62 0.33 3,70 8.51 19.65 8.13 5,56 14,26 1.20 0,04 4.29 22,17 0,05 0.45 0,00 0,55 PR03>P ft.POOt 0,0001 0.0001 0,0001' 0,00 01; 0,0 0011 0,0004 0.0068 0,0836 o.nooi 0, POt O' O.OOOU n,0087' n.oooir 0.P0R8& 0,00 0 It o.ooof 0.0072 0.3720' 0.3557 0.4304' 0.0198" 0,2657"* o.2714 0,1622 0.8208 0,1907 0,4316 0.5667 0,0546 0,0036 0.0001 0,0424 0.0184 0,0002 0.2726! 0,0423'* 0.0385* 0,0001' 0.8180 0,5046. 1,0000 0.4580 TEH 0412323 DUP050453375 L0C26 L0C27 L0C28 L0C29 LQC30 L0C31 L0C32LOC33 ioc L0C3S L0C36 L0C37 L0C38 L0C39 l ocoo L0C1 Locaa L0C03 cocoo LOCOS L0C06 L0C07 LOCO# L0C09 LOC50 L0C5J. L0CS2L0C53' L0C54 L0C55 L0C56 L0CS7 L0C58 10C59 LCC60 L0C61 LDC62 LDC63 U 5*8 12>10 FRIDAY* RAY BACKWARD ELIMIMATID^ PROCEDURE EOO d e p e n d e n t v a r ia b l e 8R20IA 8,30099735 2.37008981 ' . 26062750,15086970 12.09 -1,58391870 2,1903*368 *. , 1076019,3*356665 0,51 .70920311 1.90506302 12067157,59557122 5.86 3,79096780 2.21613007 6198923,10592383 2.93 0.67297333 2.27286169 185713,81080908 0.09 -4,6)330057^ 2.20208615 8960875,913P6T12 4,23 -2,52377075 2.07709035 3126251,66562093 1.08 -0,27818363 2.37771076 28996,51001109 0,01 0,6?00713 2.51372081 130725,23167610 0.06 7.16305090 0,11600000 3,01056606 2.17309587 2.16351809 2,37997991 23016562.78535103 7668753,38600062 3389672,85801282 10.67 3.62 1.60 - -0,82230073 2,30259160 270191,65422099 0.13 -2,93155828 2.66325010 2566639,80529623 1.21 -3,82903195 2.22613072 6266971,89153571 2,96 5,28208910 6,037*0677 2,23*76559 2,82006590 11816917,08600070 9610886,25976619 5.58 0,50 1,53239608 2.15317200 1100124,26991566 O.S 1.37025389 2.1E6E4003 836566,203*9653 0,39 2,27160563 3.12608938 1118610.76216913 0,53 2.33360509 2.32222255 2139190,00011909 1,01 3,03727601 2,30016597 3816231,66110508 1,80 -0,72162759 2,6792831P 153670,70791953 0,07 0,09770093 2.02599656 85802,88735290 0,00 3.15217222 1,b510170 2.17103585 2.26093929 0065680.59008907 1176785,23290072 2.11 0.56 3.98096213 2,2*301026 6438857.81560035 3.00 3.27320906 2.55209569 3398976,285605*7 1.60 -1.69520030 2.31338460 1021788,66909007 0.67 -2.23001050 2.17257979 2200663,05116615 t ,06 -3.05399306 2,26010687 0930009,03715663 2.33 -6.11185206 2.11505917 12071117,55822123 S.8 1.28307979 2,26300033 680720.51989377 0.32 -0,05560924 2.30570213 1192,27073708 0,00 -5,64006068 2,30070566 13620831,70826513 6.43 2.00046421 2,38759380 1507204.56762722 0,73 1,67361187 2.36720273 1300916,76800407 0.62 /TT, 8-0843 87 8 2,31690781 902*131,86305352 0,05 K 1,3568 7TS9~ 0.65620300 9*62332,18832*36 0,07 0,0000 0,0761 0.0156 0,0673 0.7672 0.03*7 0.2206 0,9069 0.8038 o.ooio 0.0572 0.2060 0,7210 0.2711 0,0856 0.0183 0.0333 0.4625 0,5298 0,0675 0.3151 0,1797 0.7B77 0.8005 0.14*7 0,0562 0.0810 0.2050 0.127 0.3038 0.1273 0.0153 0.5709 0.9811 0.0113 0,3929 0.4326 0.0350 0,037 TEH 0412324 DUP050453376 S AS BACKWARD ELIMINATION PROCEDURE FOR DEPENDENT VAPIABLE BP25YS isjo3 Sa t u r d a y ,- 363 OBSERVATIONS DELETED DUE TO MISSING VALUES, ILL VARIABLES ENTERED R SQUARE a 0,32961740 CtPJ 74.00000000 DF WEIGHTED S3- MEAN SQUARE F PR0B5F REGRESSION ERROR TOTAL T3 2181 22S4 5705530176.49210000. 11604923**4,061f>7300 17309554062,49377400 78157947.65057672 5320506,13663534 14.69- e.ooot in t er c ept AGEYPS AGESO BMl LOGZINC ALB9Q CALCIUM Fa mmYPER COFFEE h eig h t HYPtflMED LOCI L0C2 L0C3 LOCR L0C5 L0C6 L0C7 LOCB L0C9 LOCIO LOCH L0C12 L0C13 L0C14 L0C1S L0C16 LOCI? LQC1.5 LOCI 9 LOC20 L0C21 L0C22 L0C23 L0C24 L0C25 L0C26 L0C2T L0C2B L0C29 LOC30 L0CS1 L0C32 CtJCTJ B VALUE 6P.66527993 -0,55637904 0,01005424 1,26135261 >7,54644441 0.00423317 0,00000207 2.62340741 -0.3164J425 16,40235134 B,56031643 0,07561466 -1.31057653 3.42504684 5,62149276 3.36737S0B H.562B0006 13.06646260 B,36667735 4.14688093 3.71593115 11.02845407 5,02675446 10.67033801 -7.40485444 7.47774743 2,10879164 ?,Se946424 4,61732018 1.45S54687 -2.12573556 13.20442516 1.49140175 3.41627030 0,00000000 4.46105234 15.44117655 -3.71546473 3.16602712 8,24578253 4.65140170 -11.38317629 .17349105 0.94039478 STD ERROR TYPE II SS 0.1S135548 71644916.5972949 0.00166302 194470981.4337965 0,08553166 1157103342,7416376 2,13428701 67410144,5879553 0,00124741. 26946376*.9567338 0,00000115 17034925.7004255 0,67705819 92522662.6015374 0.10314561 50704920.2423381 4.86387318 6P5Ct312.1259693 1.24160395 252910271.9338251 3.27795639 ......... . 2*46,5092051 ......... 3.27076207 854239.B2SBJ33 3.82136504 4274266,7123984 3.11043629 3,52506616 17372968.1671197 4655080,8176897 4.17152910 6365393.6983994 3,48200697 75174569.5689692 3.20214854 36322526,0425819 3.75eC384 31552675.4506396 3.275742U 6846503,8945634 3.34447365 57853097.4325694 3.41760209 11519425,3977995 3.43946493 5120663,7253747 3.33857897 3,67311003 3,50336682 29827575.2049695 22050917,1425389 1927742,7677569 3,28599581 28381*81.0946522 4.00023235 307S3224.8207819 4.0333061S 1250739.9693566 3.47857190 1986*70,0064757 3.53371568 742*9723.4674795 3.29860115 1944600.3371839 * 3.64484724 612421.36374BB 0.00000000 0,0000000 3.57899727 10222987.5357586 3.73916052 3,45940999 90733049.1130894 6137269.0594331 3,04200076 3.49453554 5763198.4230455 29983942.9248391 3.56195794 9074786.8565353 3.52101718 3.27452993 3.65088943 821056.3899018 8642790.6472009 353001.0554741 F PROB>F 13.51 36.55 217,48 12,67 50.65 3.20 17.39 9,53 11.37 47,54 0.00 0.16 0.B0 3.2r 0,91 1.20 14.13 6.83 5.93 1.29 10.67 2.17 9.62 5.6! 4,14 0,36 5.33 5.78 0.24 0.37 13.96 0.37 1.15 0.00 1.92 17.05 1.15 1,08 5.64 1.71 0.15 1.62 0.07 0.0002 0.0001 0,0001 0.0004 0,0001 0.0737 0.0001 0.0020 o.oooa 0fc0001 - 1T.981S 0.6887 0,3702 0,0709 0.3396 0.2742 0.0002 0,0090 o.oiso 0,2568 0,0010 0.1413 0,0019 0.0180 0,0419 0.5473 0.0210 0,0163 0.6278 0.5412 0.0002 0.5455 0,2827 1.0000 0.1658 0.0001 0.2829 0.2981 0.0177 0.1917 0,6945 0.2026 0.7668 TEH 0412325 DUP050453377 s* 5- 'lQZU t(.0C3S f L0C36J(.0C37 `LQC38 L0C39 LUC40 cac4t LQC42 LQC43 LOCUM L0C45 LQC46 L0C47 L0C48 L0C9* L0C5OU0C51 .0CS2_0C53 .0C54 .UC55 .0C56 .0CS7 .0CS6 .DC59 .OC60 ,0C6t .ocsa ,OCt>i L 8ACKU1R0 ELIMINATION PRPCEOUBE f OR nERENOENT VARIABLE 8P23VS 3,95356696 3,96290358 5215405.3978815 0,98 14,64610695' 3,40422681- 98482824,0688326 18,51 8.13974344 3.39307662 30618721,0913197 5.75 0*66909118 3,74567783 169770.6919515 0.03 -3,20711768 3.61302902 4192178.2789874 0.79 1,27751177 4,20475179 441136.3052976 0,09 -3,fl909iM2 3,50952504 S264043,8996866 0.99 5,79773760. 3,52221323 14415800.7081938 2.71 6.96944008 4.44877124 13057944,1565235 2,45 5,37631303 3,39659674 13320204.3808075 2.50 6,93163813 3.04332687 21560905,7299683 4.05 6,9722976$ 4,91005462 10728329,8367545 2,02 6,07170399 3,66047538 14638586,6946077 2.75 0,69908015 3.62664308 197673.9145917 0,04 3,65296365 0.21151933 4002819,9489516 0.75 -0,85162709 3,16639827 108102.1038044 0.02 9,56659367 3.41668249- 41729187,5448203 7.84 8,55811629 3,55133139 30897754,3000946 5.81 8,88880520 3.573BOOMI 32881229,7480363 6,18 -3,37b02516. 8,00329120 3783615.2671272 0,71 0.139531b3 3,63940091 7820.5712274 0.00 2,19689008 3.80914779 2209410,2996625 0.42 6,28675359 3.56546229 16331647.6917072 3.07 -0,31787352 3,32811666 48413.9893740 0,01 8,67887851 3,56204940 9176225,4607176 1.72 1.79667969 3,70030136 1251619.3392221 0,24 -5,93015017 3.63002446 14199244,1924943 2,67 3,11715744 3,75800397 3660631.0237307 0,69 22,27478910 3.76929026 185806535.5314219 34.92 ,lT."0T26Ci5t3 3,65657854 48259550,3693793 9.07 V3.233571^ 0,99009004 56750332.4079699 10,67 -A* 0.3222 0,0001 0.016S 0.8582 0.3748 0.7613 0,3200 0.0999 0.1174 0.1137 0.0442 0.1557 0,0973 0.8472 0.3858 0,8867 0.005! 0.0160 0,0130 0,3991 9,9690 0,5194 0,0799 0.9240 0.1892 0.6277 0.1025 0,4069 0.0001 ,__fi., 00 26 '-.-.5.0'OT-L., \* TEH 0412326 DUP050453378 TABLE 6 ALL MEN OVER 20 BACKWARDS STEPWISE REGRESSION USING PSU DUMMIES FINAL MODEL hOR "Kl'ASTCJL-Fe^SEd&D- PRESSURE - 0UsS=oF-=SSHA5ST0N- TEH 0412327 DUP050453379 N 30984.07 [ABLE LDC25 REMOVED r eg r es s io n er r o r TOTAL in t er c ept AGEYRS AGE SO OMI L0G2INC LOGVITC ALOSU LSCHOL SHOKNUH DIETVITC 2IMC H'10GL09 t r ic EPR Fa h h y PER COFFEE HEIGHT h y p EHHED RACE LOCI LOCO L0C5 t 0C6 LOC12 LOCI 3 LOCI* L0CI6 LOClT LOC20 LOC21 L0C26 L0C2T L0C28 LOC31 " L0C32 LOC35 L0C3* cocao LOCO] L0CS4 LOCS5 L0CS6 LUC57 LOC60 LOC6J tv. Sts 12110 FRIDAY, HAY b a c k w a r d e l imin a t io n pr o c edur e f ok r n ^p e n d e n t v ar iabl e b p 2o ia R SUtURE 0.3627409* C( ?5 48,90856800 OF WEIGHTEO s s MEAN SQUARE P PROB>F 04 2204 220B 266234?J63,5*890460 9677171011.50360900 7339513375.10255900 60507780.99086510 2122128,90812323 26.51 0,0001 B val ue 100,9*401262 0.7P93O177 -0,00739207 0,7706097# -36,20159081 1,16566121 0,00059153 3,06935119 -0,09798155 -0.00971631 0,31737709 0,11119212 0,01056109 1,91*489872 -0,1*276518 12,69012060 5,91269196 2.00802310 -3.53217991 3.06729905 .07620996 -9,73*89621 -5,87191077 9.72879757 10.85990913 -6,82126863 6.19070813 -6,10692957 8,95907897 6,77267560 -3.91891908 3.19973255 -6.33*69853 ? -9,25113369 5.92811798 -9,55*88269 -5.57607230 3,96613059 -3.65280323 -3.89819256 -5,09667032 -6.76559099 -7,67222959 (-3,81788600 'V 1.60876970-, STO ERROR TYPE II SS 0,09916758 0.00107530 0.07168066 8.59193255 0.25502348 0.00061911 1.06996276 0,01598733 0,00256981 0,09238299 0,02099953 0.00392308 0,92137356 0,06675251 3.06255S79 0.78157809 0.76155029 1.93555917 1.28560003 1.68056160 2.16817990 1.5*921830 1.57299600 1.98933992 J.60312131 1.99392882 1.61951959 1.69707199 1.81585135 1.59633*93 1.22275273 1,66620912 1,93957761 1,55922876 2,19778962 1,69296259 1,64979663 1.74339999 1,55999119 1,67352039 1.98615907 1,7360607a 1,84710*93 0.61539603 139936852,55639*29 1002866*3,190**166 25?67944.965*3938 37670313.55069997 ,!3 3 J 2459,21500187 65237303.93d9lS12 17644277,31965757 19035196,29665966 299(55963,79759537 28302106.7620*718 59497757,066*5*52 15379265.38717077 47068189,30499111 15*08289.10193612 36151531.89256*95 101783565.05159897 19008615.52153571 12847359,24709089 12238146.19025992 1SO55069.56827486 10141722,89037166 291491*3.302030*8 19190792.00509666 112a33716.87977850 36573178,68431681 3903*664,36237331 30362032.61644423 <2717476.81168893 29521037,74503528 9734139.H100936 14036596.31243235 30721591.72252216 18505934.37088000 25864528.0565*11* *135003,*5078636 24476480,1257928* 9367570,64*16057 931601*.*88430*6 13345612,92334496 14296321.48*00277 44240424.0465*173 41946227,24333092 9066351,4660*483 F 63.35 47.26 IIS.5* 17.75 20.91 30.74 8.31 6.*7 14.13 13.34 28.09 7.25 22.1* 7.50 17.04 97.*6 6.60 6.05 5.77 7.0* 4,78 13.79 9,04 , *3,IT 17.23 18.39 14,31 29,55 13,91 4,59 6.61 14,48 6.72 12.20 4.30 11.53 4.91 4.39 6.29 9.09 20.85 . 19.53 4.27 PRne>F C.OOfll 0,0001 0.0001 0.0001 0.0001 0.0001 0.0040 0.0028 o.gone 0,0003 O.OOOI 0.0072 O.OOOI 0.0062 0.0001 0.0001 0.O103 0.0190 0.0169 0.0078 0.0269 0.0002 0,0027 0.0001 0,0001 0.0001 0.0002 O.OOOI 0.0002 0.0323 0.0102 0,0001 0.0032 0.0005 0.0381 0.0007 0.0356 0.0363 0.0122 0.0026 O.OOOI O.OOOI 0.03B9 '** r ruW*>*iuctuR FO<*' JN t k j nonet ARE s ig n if ic a n t a t t h e 0,0500 LEVEL. ***Ot IT v a *i jT TEH 0412328 DUP050453380 SA 15*03 SATURDAY. MAY BACKWARD ELIMINATION PROCEDURE FOR DEPENDENT VARIABLE BP2SYS BACKWARD ELIMINATION PROCEDURE FOR DEPENDENT VARIABLE H2SYS TABLE L0C56 REMOVED R SQUARE * 0,31167100 CCP) 52.386069*7 DF WEIGHTED 6S MEAN SOUAKE F PRCB>F REGRESSION ERROR TOTAL in t er c ept a &EYRS AGESO BMI LOGZINC ALWSQ Fa ^h YPER COFFEE HEIGHT kyper heo LOCO L0C7 iocs L0C9 L0C11 L0C13 LOCI* L0C15 l o c it L0CX6 LUC21 L0C26 LOC29 LOC35 L0CI6 LUC03 LOCOO LOG 50 L0C51 LOC52 LQCpO L0C62 L0C63 LL 33 2221 2250 5399866631.19056100 11910667031.30321300 1730955*062.09377000 163061013,06638060 S36OS50.80705232 B VALUE STD ERROR TYPE II 3S 72.20982616 0.52730002 0,00966701 1.28191506 -8.19288700 0.00916608 2,80299053 -0.29907525 16.79858001 8.59580700 0.33098536 11,61710190 6,7023121 7,84557880 9,06781070 9,33629299 -9.05771073 5.93242296 6,07906*50 8.28036026 11.98921092 10.18080003 6,83065165 13.16228070 6.65802703 6,76155512 5.21595603 8.02106030 7.06036720 7.05551905 -7,61015621 / 2O-J-92.193095 V 9,3(j 133216 vx, 3,20100279' 0,15002759 0,00165050 0.08065403 2.07327073 0.00126225 0,66765005 0,10176160 0,80638630 1.23900570 2.02O53993 2.55C55790 2.13625837 2,91266388 2,35018092 2,06959596 2.35313311 2.80230658 2,28380963 3.22702036 2.60532623 2.87990230 2.56283856 2,03369562 2.00628989 2.05118506 2.09685350 2.07129013 2.6*776907 2.67637202 2.70966310 2.93*26037 2.80202935 0,93379105 65926573', 0 693601 {S31057S2.1691326 1230130101,2606088 83770979.0769000 '82863396,(1977691 97212107.8500078 U6336S4U.0585309 65530181.3806267 .'S2o?3738.1819132 20595516.1009731 111290626.7959806 52606*80,1449716 38922667,0009087 87062031.3756729 7576302.091800l d66S8751,9869679 2O0O1778.Su506S8 36007723.4137538 35320661.*311072 113603218.0181303 138100112.3053030 38150788.0919663 156688*31.0509377 39678109,9750917 00820126.8747989 23010758.5970533 56513201.4170752 38103555.0705802 41629022.9952093 410*2001.6617206 272734198.8662520 59860360.9572330 63000103,1427572 30,07 0,0001 F Pftf)B>F 12.29 3o.l0 229.31 15.62 52,73 18.12 8,60 12.22 07.13 0.56 20,75 9,80 7.26 16.23 10.07 16,15 4,08 7.08 6,58 21.18 20.26 7.11 29,25 7.00 7,61 0,36 10,53 7,11 7.76 7,66 50,80 11.16 11.75 . O.nOoS 0,0001 0.0001 o.ooot 0.0001 0,0001 0.0033 o.oooS 0.0001 0.0320 0,0001 0.0017 0,0071 n.nool o.ooo2 0,0001 0,0300 0.0078 o.ntoo 0,0001 o.dool 0,0077 0.0001 0,0066 0.0059 0,6368 0.0012 0,0077 0.005* 0,0057 0.0001 0.0009 0.0006 THE h q o EL ARE SIGNIFICANT AT THE 0,0500 LEVEL. TEH 0412329 DUP050453381 T TABLE 7 MEN 40-59 BASELINE MODEL NOTE: RECEX means recreational exercise TEH 0412330 DUP050453382 N 30984.08 4 TEH 0412331 DUP050453383 TABLE 8 MEN- 4.0-59 WITH VARIABLES FOR EACH STRATA NOTE: THERE ARE ONLY AN AVERAGE 'Or 20 OBSERVATIONS PER STRATA TEH 0412332 DUP050453384 N 30984.09 -iFCE -H-'r r-E_ r;Z'~' 7Z~A.Z j-2 r-s r0 F.2DT Z EC, V. SL:M CF 3GjAr.ES 9': 4425272 :3-M .370 = = 270= ::'=297~ :_65.5CS 2~.e z o ie e 2CS:.i7Z 17EAN S 22 A. RE 21533=4= 7117019 F-EGUAFE a d : f .-s q F VAL2E 6.909 0.3342 0.2253 F-";GE: ;-F 0, 0 I 01 TEH 0412333 DUP050453385 r" VARIABLE: BP2SYS JRCE DF DEL :.'0R TOTAL 43 577 620 ROOT MSE DEE MEAN C. V. SUM OF SQUARES 2037304622 43599-S3S44 6397488466 274S.872 12E.969 2171.426 MEAN SQUARE 4738382B 7556298 F.-BQUARE ADJ R-SQ F VALUE 6.271 0.31S5 0.2677 F'ROB>F 0.0001 7IABLE Dr TERCEF' ZYRS ESQ I BUM IN 1 1 1 1 1 BRIE'Q 3OLEIC EnC -- EE IEHT ^E^'ED f a e a me t e r ESTIMATE -BO.312400 2.I85243 -0.D13EE0 1.310001 0.8=6=48 V`Ti -4 ri tcs.:~ ~0&C5E 24 --. ar Co C :~17 = *i. ~r C- C - r.* S=37 C-E cr -- r* rr - 34==0= r* - z. sr " * C cc. .* r 240194 STANDARD T FOR HO: ERROR PARAMETER* 36.737446 0.021152 0.167006 - * 4L. / SEE;AS SE=SA2 4437-4 1 E2"*77 -1.419 1.044 -0.731 T w'~r*tr 3 -->E .: s PROS IT! 0.;36e -- . 2=C'S - ' -r'Z- - 1 v. :* : ji 0 001 ~ T . . OvOl = ^ . .. 4215=1 19222= BE~ESS 211=64 7630C3 "7 4721 0S6S64 Of -- c "201 = r = - . 0=4 4=7 -c 1 .74 --. - '* CT 274 1 - *T " 1 vC3 = : = s 5. 7 -7 . 7:-: 7612 :s 1"H 0412334 DUP050453386 TABLE 9 MEN 40-59 MAXIMUM R-SQUARE REGRESSION WITH DUMMY VARIABLES FOR EACH ................ PSU" NOTE: DIASTOLIC ONLY SINCE LEAD IS LESS SIGNIFICANT FOR DIASTOLIC TEH 0412335 DUP050453387 N 30984.1 wr/*4' <* $. . l~orce. d. tuj VARIABLE L0C26 ENTERED REGRESSION ERROR TOTAL in t er c ept a SETRS AGESQ 8HI POTASS HE.MUGL08 a l b u min LVC RECEI HEIGHT HYPERHED' L0C6 L0C14 L0C17 LDC21. L0C26 L0C35 L0C57 LL .* i-oove-e*iT f o p Or-tsee-T. V4,,likBL---- THE FIRST 3 VARIABLES IN EACH MODEL *t INCLUDED VARIABLES. R SQUARE 0,30924405 CtP) 27,75426056 DF WEIGHTED SS HEAR SQUARE F 10 861006163.69358740 *7633675.76075485= 625 1923222571.80221640 3077156.11488355 643 2784228735.49580360. IS, .5* B VALUE STO ERPOR. TYPE II S3 F 11.47281798 -0,28123.929' 0.00415042 0,6*246996' -0.00166657 0,08576666 0,52529679 1,70571254 1.37442616 12.62616933 6,38983766 -6,92974608 -0,2900505 6,61821025 7.78313507 6,23449203 8,93197640 -6.6020*705 3..98330129 1.29407341 0.01308609 0,10393166 0.00034692- 0,036*2593 0.14559608 0,35504319 0.58373132 5.90866370 1.32652*96 2,69963307 2.72378689 3,15530*85 2,8*939928 3,09672376 2.96206426 2.76564613 1.12357019 145339^50564350 309537.06533097 2?l857J15.17565195 71012691.99678090 16690874,16318357 00055270.0B795614 71022973.21468144 17059502,32674835 14051225,51511514 71399568,1B353*69 20275645,67244*71' 28504775.60473393 13537762,78752019 22327677.10879-137 12*72308.87990160 27972467,883*1286 17532777.70949686 38675454.61211582- 0.05 0.10' 72.10 23.0* 5.42' 13.02 23.OB 5.54 a.57 23.20 6.59 9,26 4,40 7.26 4,05 9,09 5,70 12.57 3VE HODEL IS THE BEST 1ft VARIABLE HtlDEL FOUND,. PR0861 0.000 PR08>! 0.*2*> 0;751 = o.oon 0.000 0,020] 0.000' 0.000 0.01fl: 0.0331 o.ooo: 0.010' 0.002' 0.036' 0.007: 0.044! o.oo2: 0.017: 0.000- \~^h O L>/~ Ccp^. F o ratdL t <n ARIABLE I.0C42 ENTERED REGRESSION ERROR TOTAL A IIU" P-3QIIARE INPWCVENCNT FOR OCFCn Cn t VARIABLE 8PSDIA R SOUAPE 0.302*7823 C(P> 27.77826628 WEIGHTED S3 MEAN SQUARE 15 628 643 **** ! I'll o&ct |941503322,7t6P975C 278422*735.495603BO 56181690.18531370 3091565.60050330 r 18.17 PR08>F 0.0001 INTERCEPT BMI Po t a s s HEMDOLOB ALBUMIN LVC 6CEX h y per mED L0C6 L0C1 LOCI7 L0C21 L0C35 L0C2 L0CS7 LL 8 VALUE 9,85774032 0.88809626 0,00170592 0,08210385 0.9*612761 1,71169697 1,95381030 6,98370056 >6,73166920 8,76951395 6,77357701 7,90896090 9,21958185 9.30906810 -6,S3139t05 3.73210300 d e l IS THE b e s t is VARIABLE MODEL FOUND, STO ERROR TYPE II SS 0.10000582 0.00030561 0.036*7555 0,102*9*03 0.35897701 0,58150179 !.31090719 2.7019;*3I 2.72166101 3.15507006 2.88939125 2,95897290 0.063*0007 2.77086901 1,12610736 225015263.10063003 753220*1.05832750 15325800.69317285 3577*665,80502016 71883725,293*1513 19321218.10979101 *7208739,7000067219190200,30072010 52096780,95383639 10205750,76217950 23160619,70698003 30013659.770*7770 13561165,99\17B69 17177019.89723579 33955070,90956801 F 72.91 20,36 0,96 11.57 23.25 6,25 28,21 6.21 10,3* 4.61 7.09 9.71 0,39 5,56 10,98 PR082F 0,0001 0,0001 0.02*3 0.0007 0.0001 0.0127 0.0001 0.0130 0,0013 0.0322 0.0064 0.0019 0.0366 0,0187 0,0010 TEH 0412336 DUP050453388 TABLE 10 MEN 40-59 WITH ALL PSU DUMMIES BOTH RACES AND WHITES ONLY TEH 0412337 DUP050453389 N 30984.11 4 *- r^tcsb- BACKWARD ELIMINATION PROCEDURE FO* DEPENDENT VARIABLE BP2DIA 27 OBSERVATIONS DELETED DUE TO-MISSING VALUES, ALL VARIABLES ENTERED R SQUARE a 0,38200238 CtP) 77,00000000 OF WEIGHTED SS MEAN SQUARE F r eg r es s io n ERROR TOTAL 76 567 63 1063582002,0*193240 1720646733.41387140 2784228735,49580380 13994500.02739385 3034650.32348125 4,61 B VALUE STD ERROR t y p e II SS F INTERCEPT tCEYRS ir.fsa 8 NI po t ass h Emo Gl QB a l b u mi n L VC / FAHHYPER' RECEX HEIGHT ^ COFFEE ^ MtPERMEO LOCI L0C2 LOCI LOCO LOCS L0C6 LOC7 LOCS r ac e L0C9 L 0C10 LOCI 1 LOCI2 LOC13 LOCI* LOCJS LOCJB LOCI 7 LOCI* LOCI** LOC20 L0C21 L0C22 LOC23 LOC2R LOC25 L0C26 LOC27 LOC2B L0C2R LOC30 0.5?28275 -0,48574409 0.00603500 0.900J7R61 -0,00144694 0,07638326 0,51302741 1.S8045271 1,31276676 1,02633604 10,63556085 -0,04363393 5,82838780 -1,86795664 6,0(067026 6,07682353 2,62683322 t.51626556 3.75935696 5,30607639 4,10415034 2,16204678 4,78449883 4,81859349 5,26055324 0.95023592 6,18651602 5,77649415 4,47396307 -0,24694181 9,50496000 O.05060915 >1,6061024a -4,43841262 10,91102216 4,56852308 2,73124233 0,00000000 3,12745094 8,93639767 0,82330405 6,03690673 6.47290332 -3.77154839 1,34130925 0,01356662 0,10836902 0.00038182 0,04120672 0,15830173 0,38003274 0,69680608 0,62889243 6.24208067 0,12152635 1,39917339 5,3624]481 5,14466239 5.52242274 5,35320326 5.10403129 5,02004428 5,62689329 4,85166799 1.79374338 5.19808529 0,80909532 4,96137243 5.06298849 5,18786644 5.02270653 5.50763718 5.7819087$ 5,26346690 5,82999857 5.96135824 5,87964939 5,13229909 5,08923096 5.75296941 0,00000000 5,36524853 5.23715463 5.19353665 5,10831174 5,55437141 5.62721158 397960.S0505190 600509,92256316 209390353.45191064 03700606,14247790 10427226,41879762 31872671.41465214 52484327,70790772 6473879,94987942 6113832,39139423 8809927.36980361 1801499,84466302 52657770.58537715 376159,36074467 4128520.27253775 3674536,84272400 73182S,02711476 ?6713,54805451 1701847,71007995 2696557,10056214 2171565,98618686 4408777.77042833 2570956,68011221 3046649,29152956 3384335.97108517 106055,52236057 4318210.19498000 4013855.41309325 2002455,56924847 5535,48193519 9896131,34622148 3268877,67245212 . 220285.71161760 1729263,37909696 13715625,43179490 2045454,19727164 683982,50S51611 0,00000000 1023477,18528437 8835736.13284370 76261,04567581 4238213.22173189 4121326,69786889 1363206.14612696 - 0.13 0,20 69,00 14,40 3,44 10,50 17,30 2.13 2,67 2,90 0.59 17.35 0,12 . 1.36 1.21 0,24 0,09 0,56 0,89 0.72 1.45 0,85 1,00 1.12 0,03 1,42 1.32 0,66 0.00 3.26 1,08 0.07 0,57 4,52 0,61 0.23 0,00 0,34 2.91 0,03 1.40 1.36 0.45 PRC8>F 0,0001 PRCB>F 0,7174 0.6566 0,0001 0,0002 0,0643 0,0013 0,0001 0.1447 0,1026 0,0890 11.4413 0,0001 0,7249 0,2439 0,2716 0.6236 0,7665 0.4542 0,3463 0,3980 0,2286 0,3577 0,3168 0,2914 0,8518 0,2334 0,2506 0,0169 0,9659 0.0715 0,2998 0,7877 00,140530396^/ 0,3697 n.6351 1.0000 0,5616 0.0885 0,8741 0.2378 0.24 0.5030 TEH 0412338 DUP050453390 0C31' OC32' QC33 0C38 0C35 0C36 0C37 0C38 0C3 OC80 ocat 0C2 0C83 OC08 ocos oca 6 0C87 0C8OCflO- OC50 0051 0C52 0C53 ocso 0C553C56 DCS7 OCS* ocso 3C60 3C61 DCb2 3C63 . i 9*9i ....................................... B*OKI.*ft0 ELIMINATION PRnCEDURE FOR p e p e h d e n t v a r ia b l e b p 2d ia -6,529U62 6,69214680 2909813.70650525 -2,85013828 5.30756384 875080,60975882 5,70468850 5.18317708 3676036,63064262 1,05745272' 7,15956500 66199,88620316 12.16507430 5.13110342 17057283.95762605 5,6909963 5,31178357 3083009.55931570 6.67305207 5,41106369 7795120,66486085 -2.63522562 5,31561086 745826.65819200 -3,30192524 5,70484256 1016613.32990275 -2.70192746 5.79214015 660355,65706877 8.52778557 5.55939636 7140455.57836950 10.95563094 6,15295611 9620909.02861167 8,41626295 5,52511170 7041098,88958935 3.19820300 5,20931158 1126060.59696621 -1.08418376 5,13623016 135210,98309585 2,56770372 5,50378108 660505.00172529 -1,13267793 5.00201350 133416,70110290 -0,91711028 5,50252832 80299,92806507 . a,9a 307831 0,92516125 3056769,7720330* 0,70056806 5,33660431 2390656.10300305 8', 15209498 6,12757699 5371178.20003860 a,03701090 5.30300396 1758180.51680590 9 .,97429060 5,95609054 6509255.13160182 1.86881799 5,81582081 361337,60615*17 1,21800050 5.08806308 173*99.62026560 1,75790008 5.11229621 358828,35102870 -3.66573809 5.08168036 1579126.51570013 2,96656878 5.05095621 1059299,83100275 0,43267638 5,60958810 1866156,62668942 -1.16069108 6.19196285 107368,38975175 0,79376863 5.00692095 65802.72396231 1.03986852 5.55899298 106105.79076517 ^T6^<70-7563 5.S3553269 2566290,7*230978 _ \^3.261aa5i. 1,27156596 19968151.610*1547 10134 S-TU-OAt, 0,96 0.29 1.21 0,02 5.62 1.15 2.57 0,25 0,38 0.22 2.35 3, IT 2.32 0.37 0.08 0.22 0,04 0,03 1,01 0.79 1.77 0,56 2.80 0.12 0,06 0.12 0.52 0,35 0,62 0,00 0,02 0.03 0,65 6,5* 0.3286 0.5915 0.2715 0,6826 0.0181 0,2800 0,1096 0,6203 0.5630 0.6410 0,1256 0,0755 0.12*2 0,5026 0,8329 0,6410 0.8300 0,8677 0.3160 0,3787 . 0.1839 0.4069 0,0906 0.7302 0.8109 0.7311 0,0710 0,5549 0.0330 0.8509 0,8833 0.8517 0,35*2 0.0106 TEH 0412339 DUP050453391 w !-/-. O*?/^ BACKWARD ELIMINATION PROCEDURE FOR DEPENDENT VAPIA8LE BP2DIA 22 OBSERVATIONS DELETED DUE TO HISSING VALUES, ALL VARIABLES ENTERED p s q u a r e 0.40243598 CCPi * 76.00000000 REGRESSION ERROR TOTAL DF WEIGHTED s s 75 95011792S.04311530 49o 1410798998.14780260 565 2360916923,19091790 s val ue STD ERROR MEAN SQUARE 12666239,00057487 2879181.62667307 TYPE II SS F 4.40 PR08>F 0,0001 F PH0B>F INTERCEPT AGEYP6 AGESQ 8*1 po t ass MgMOGLOS ALRUHIN LVC FAMKTPER RECEX HEIGHT COFFEE h y p e r me o LOCI L0C2 10C3 10C4 LOCS LOCO L0C7 L0C8 L0C9 L0C10 LOCU" L0CI2 L0C13 LOCia L0C15 LOCtfc L0C17 LDC18 L0C19 L0C2D L0C21 U9C22 LOC23 L0C24 L0C25 L0C26 L0C2T L0C26 tOC?* IPCI! kCtll *15.53115861 0,00021890 0.00060082 1.02706616 *0.00162430 0.09455545 0.62431881 l.O7724650 1,62216652 0,97559232 11,06529403 -0.06932127 5.16223978 3,90364923 -1.46086500 5,61547031 1,50844026 4,11961733 4,22037842 4,06179825 4,44426969 5,20687078 5,18520477 5,78176829 -1,11479501 5.59916664 -5,56131618 4.71077122 -0.13376697 9,59826693 6,20142849 12.49203991 -3.B0235797 U. 25121231 3,79158712 2,34364452 0,00000006 4.31595619 9,37900552 -0.959211J5 6,31285900 7.32959589 3.3*671S?2 -T.3*210390 1.39362464 0,01409861 0.11996267 0.00039468 0.0*396190 0.16684450 0.40370608 0,93648095 0,66679224 6,62404602 0,12165434 1,47063781 5.53271331 7.79439488 5.61763821 5.37156163 5,18821356 5.00237294 5.57690920 4,73523129 5.11683508 4,73050790 4,86649337 5,20683700 5.19290342 4,902*0390 5.37019547 5.64797415 5.12986884 5.69034534 9,23171657 5.95967461 .5,01002082 '4,99169023 5.74074530 0,00000000 5,30513174 5.19353992 5.25554007 5,12009277 5,22CS390 5,49527956 T.*9919385 0,07103492 9342.5c995766 211216971,81240008 <'.6765170.92372740 13315S01,24462181 !8183S67.33982784 38551703.37637411 10900522.01782180 6126654,00526955 8958767,80597756 934860,79152761 35475943.17560251 1500142,67278087 10I137.S736156 3065540.25221091 ?2709,70$67375 1615294,64573314 2049366,902040 36 1527279,78881401 2536246.07746409 2481397.08980647 34S276.95778767 4064041.69704815 131980,91423768 3347305. S49f,ft3S6 3704547.70100482 2215505,84949440 1615,03317796 10079574,22411902 34,9599,86844484 5271944,90963170 1172006.35843882 14520736.39544020 1661176,92358605 479861,50212562 0,08000000 1905595,73313799 9369616,34576301 95909.76728394 43768*5.34162304 S?61M. 73178073 l?676*,3r565009 2797S*P.5*137405 o.oo 0.00 73.36 16.94 4,63 6.32 13,39 3,79 2.13 3,11 0,32 12.32 0,52 0.04 1.07 0,08 0.63 0.71 0.53 0,88 1.04 1,20 1.41 0,05 1.16 1,29 0.77 0.00 3.50 1,19 1.83 0.41 5.04 0.58 0.17 0.00 0.66 3.26 0.03 1.52 l.3 0.37 0.47 0,9994 0.9545 0.0001 0.0001 0,0320 0,0123 0.0003 0,0523 _>0,1453 ___> 0.0784 0,5691 0.0005 0,4707 0,8514 0.3011 0.7790 0.4276 0,3993 0.4668 0.3484 0.3094 0,2736 0.2354 0,8306 0.2815 0.2572 0,3808 0.9811 0,0619 0,2763 0,1766 0.5238 0,0252j 0.4479 0,6633 t.OOOOi 0.4J63' 0.0715 0.*553 0,21*2 0.1T7| 0.5628 0.32*8 TEH 0412340 DUP050453392 QC32 0C3S 0C34 0C35 0C 36 0C37 0C38 0C39 ocoo 0C41 0C2 0C03 OCOO 0C4S 0C6 0C07 0C8 0CO9 ocso 0C51 DCS 2 0C53 ocso 0C55 0C56 0C57 0C5B 0C59 OC60 OCM / 0C62 Zth* w - Lvv : , BACKWARD ELIMINATION PROCEDURE POP DEPENDENT VARIABLE 8P2DJA -2.39163565 5,17407697 615167.02270385 1.86112366 6,05734604 271803.31811939 9,79035801 9.00980235 3399631,62662185 12.53069777 5.06670677 l759616S.65437057 6,35988737 5,20914929 4226539,02660590 5.61037350 5,56359001 2911016.18850998 -1,70270172 5,19193686 309676,16967779 -3,0672240$ 5.56057766 870773,56189109 -2.39272704 5.65205798 511687,05656770 9,07899306 5,02663630 8059030,98353789 11,58104670 6,00850974 10696979,22299960 7,37451385 5,66238757 4609205,26305587 3.13493436 5,37951096 977778,24880311 -2,02777066 5,14576002 600892.69930336 6.28273631 5.67822158 3524861.48301037 -0,17287070 5,46166989 2884,20542256 0,00736736 5.69055030 199,4889.0965 . . _ ... 5.08383281 4,8*929100 3112861.56393*83 0,96770550 5.20701113 2620618,13051785 9,68633360 6,80476608 0638977,63010393 0,38646005 5.17712260 2066923.84202778 11.00723274 5.81329SS2 10322395.4*686010 2,37011915 5,28890763 578199.15874103 1,77749695 0,96444305 369309.06720238 2.05282770 3,12523166 3,30308692 4,62014905 0.96510143 0.960S9150 0,93161101 5,50961850 088231.79911430 1142790.0*660017 1323398,66410382 2024637,97840966 -0,99743512 6,90066430 76831.90512597 1,0930329a >^1462770 /6.047S52J9 U, 1191771K 5.33256606 5,42055295 5,06748400 1,37020*01 12096S.92171203 101275,81846951 3497000,32607091 10919371.30018158 0.21 0,09 1.18 6.11 l.7 1.01 0.11 0.36 0.18 2.80 3.72 1.68 0.30 0.22 1.22 0.00 0.00 1.04 0.91 1.61 0.72 3.59 0.20 0.13 0.17 0.40 0.06 0.76 0.03 0.04 0,04 1.21 5.18 0.6401 0.7588 0.2777 0.0138 0.2262 0,3151 0,7031 0,5617 0.6735 0.0950 0.0505 0,1950 0.5663 0.6373 0.2691 0.9706 0.9934 0,2990 0,3005 0,2009 0.3973 0.0589 0.6503 0.7204 0,6807 0.5290 0.0981 0.0021 0.8703 0.8377 0.PSi3 0.2710 0.0233 TEH 0412341 DUP050453393