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A researcher studied the effects of three experimental diets with varying fat contents on the total lipid (fat) level in plasma. Total lipid level is a widely used predictor of coronary heart disease. Fifteen male subjects who were within 20 percent of their ideal body weight were grouped into five blocks according to age. Within each block, the three experimental diets were randomly assigned to the three subjects. Data on reduction in lipid level (in grams per liter) after the subjects were on the diet for a fixed period.of time follow. Fat Content of Diet

A researcher studied the effects of three experimental diets with varying fat contents on the total lipid (fat) level in plasma. Total lipid level is a widely used predictor of coronary heart disease. Fifteen male subjects who were within 20 percent of their ideal body weight were grouped into five blocks according to age. Within each block, the three experimental diets were randomly assigned to the three subjects. Data on reduction in lipid level (in grams per liter) after the subjects were on the diet for a fixed period.of time follow. Fat Content of Diet

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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I dont know wheere start with this ANOVA question Bonferroni correction, Thankyou. I have included table B2

3. A researcher studied the effects of three experimental diets with varying fat contents on the total lipid (fat) level in plasma. Total lipid level is a widely used predictor of coronary heart disease. Fifteen male subjects who were within 20 percent of their ideal body weight were grouped into five blocks according to age. Within each block, the three experimental diets were randomly assigned to the three subjects. Data on reduction in lipid level (in grams per liter) after the subjects were on the diet for a fixed period of time follow. Fat Content of Diet j=2 Fairly Low Moderately Low Block j= 3 j= 1 Extremely Low i Ages 15-24 Ages 25-34 Ages 35–44 Ages 45-54 Ages 55–64 1 .73 .67 .15 .86 .75 .21 .81 1.32 3 .94 .26 4 1.40 75 5 1.62 1.41 .78 c) Estimate L1 = H.1 - H.2 and L2 = µ.2 – H.3 using the Bonferroni procedure with a 90 percent family confidence coefficient. (In other words, find the point estimates and construct confidence intervals with a 90 percent family confidence coefficient for L1 and L2 using the Bonferroni procedure.) [To find the critical t-value, use the degrees of freedom (v) in Table B.2 (on pages 1317-1318) closest to your calculated degrees of freedom.] The MEANS Procedure Analysis Variable : lipid diet N Obs N Mean Std Dev Minimum Maximum 1 5 5 1.1100000 0.3807887 0.7300000 1.6200000 2 5 5 0.9920000 0.3455720 0.6700000 1.4100000 3 5 5 0.4300000 0.3084639 0.1500000 0.7800000 The GLM Procedure Dependent Variable: lipid Source DF Sum of Squares Mean Square Model 6 2.73924000 0.45654000 Error 8 0.01932000 0.00241500 Corrected Total 14 2.75856000 R-Square Coeff Var Root MSE lipid Mean 0.992996 5.822589 0.049143 0.844000 Source DF Type I SS Mean Square block 4 1.41896000 0.35474000 diet 2 1.32028000 0.66014000
Transcribed Image Text:3. A researcher studied the effects of three experimental diets with varying fat contents on the total lipid (fat) level in plasma. Total lipid level is a widely used predictor of coronary heart disease. Fifteen male subjects who were within 20 percent of their ideal body weight were grouped into five blocks according to age. Within each block, the three experimental diets were randomly assigned to the three subjects. Data on reduction in lipid level (in grams per liter) after the subjects were on the diet for a fixed period of time follow. Fat Content of Diet j=2 Fairly Low Moderately Low Block j= 3 j= 1 Extremely Low i Ages 15-24 Ages 25-34 Ages 35–44 Ages 45-54 Ages 55–64 1 .73 .67 .15 .86 .75 .21 .81 1.32 3 .94 .26 4 1.40 75 5 1.62 1.41 .78 c) Estimate L1 = H.1 - H.2 and L2 = µ.2 – H.3 using the Bonferroni procedure with a 90 percent family confidence coefficient. (In other words, find the point estimates and construct confidence intervals with a 90 percent family confidence coefficient for L1 and L2 using the Bonferroni procedure.) [To find the critical t-value, use the degrees of freedom (v) in Table B.2 (on pages 1317-1318) closest to your calculated degrees of freedom.] The MEANS Procedure Analysis Variable : lipid diet N Obs N Mean Std Dev Minimum Maximum 1 5 5 1.1100000 0.3807887 0.7300000 1.6200000 2 5 5 0.9920000 0.3455720 0.6700000 1.4100000 3 5 5 0.4300000 0.3084639 0.1500000 0.7800000 The GLM Procedure Dependent Variable: lipid Source DF Sum of Squares Mean Square Model 6 2.73924000 0.45654000 Error 8 0.01932000 0.00241500 Corrected Total 14 2.75856000 R-Square Coeff Var Root MSE lipid Mean 0.992996 5.822589 0.049143 0.844000 Source DF Type I SS Mean Square block 4 1.41896000 0.35474000 diet 2 1.32028000 0.66014000
1318 Appendices Appendix B Tables 1317 TABLE B.2 TABLE B.2 (concluded) Entry is t(A; v) where P{t(v) < t(A; v)} = A Percentiles Percentiles of the t Distribution. of the t Distribution. A t(A; v) A A 98 ,985 .99 .9925 .995 .9975 .9995 .60 .70 .80 .85 .90 .95 .975 21.205 42.434 8.073 5.047 4.088 127.322 14.089 7.453 5.598 4.773 63.657 9.925 1 15.895 31.821 636.590 31.598 4.849 5.643 6.965 4.541 1 0.325 0.727 1.376 1.963 3.078 6.314 12.706 2 1.061 0.978 0.941 0.920 1.386 1.250 1.190 1.156 3.482 3.896 2.999 3.298 2.757 5.841 4.604 12.924 8.610 6.869 2 0.289 0.617 0.584 1.886 2.920 2.353 2.132 2.015 4.303 3.747 3.365 '3 4 0.277 0.271 0.267 1.638 1.533 3.182 5 3.003 3.634 4.032 4 0.569 2.776 5 2.571 2.612 3.372 3.203 3.085 2.998 0.559 1.476 6. 829 3.143 2,998 3.707 4.317 5.9 2,517 2.449 2.398 2.359 2,715 3.499 3.355 4.029 0.906 0.896 5.408 5.041 0.265 0.263 0.262 0.261 0.260 0.553 0.549 0.546 1.440 1,415 1.397 6 1.134 1.943 2.447 8 2.634 2.574 2,896 3.833 1.119 1,108 1.100 1.093 7 1.895 2,365 2,821 2,764 9 3.250 3.690 4.781 8 0.889 1.860 2.306 10 2.527 2.932 3.169 3.581 4.587 2.262 2.228 9 0.543 0.883 1.383 1.833 2,718 2.681 2.650 2.624 2.602 10 0.542 0.879 1.372 1.812 11 2.328 2.491 2.879 3.106 3.497 4.437 3.428 2,303 2.282 2.264 2.836 2.801 2.771 4.318 4.221 4.140 12 2.461 2.436 2.415 2.397 3.055 3.012 2.977 2.947 1.088 2,201 2.179 2.160 11 0.260 1.796 0.540 0.539 0.537 0.537 0.876 1.363 3.372 3.326 13 12 0.259 0.873 1.083 1.356 1.350 1.782 14 0.870 0.868 1.079 1.076 1.771 1.761 1.753 13 0.259 15 2.249 2.746 3.286 4.073 0.258 0.258 1.345 1.341 2,145 2.131 14 16 2,235 2.382 2.583 2,724 2.921 3.252 4.015 15 0.536 0.866 1.074 2.567 2,552 2.898 2.878 2.224 2.368 3.222 2.706 2.689 17 3.965 0.258 0.257 0.257 0,257 0.257 16 2.120 0.535 0.534 0.865 1.071 1.337 1.746 3.922 3.883 18 2.214 2.356 3.197 0.863 0.862 0.861 1.069 1.067 1.066 1.064 1.740 1.734 1.729 1.725 1.333 1.330 17 2.110 2.205 2.197 2.346 2.336 2.861 2.845 3.174 3.153 19 2,539 2.674 2.101 2.093 2.086 18 0.534 20 2.528 2.661 3.849 19 0.533 1.328 2.518 2,508 3.819 21 22 2,189 2.183 2,328 2.649 2.831 3.135 3.119 20 0.533 0.860 1.325 2.320 2.313 2.639 2.819 3.792 0.257 0.256 0.256 0.256 0.256 1.323 1.321 1.319 2.080 2.074 21 0.532 0.532 0.859 1.063 1.721 2.629 2.620 2.807 2.797 2.787 23 2.177 3.104 3.768 2.500 2.492 1.717 1.714 3.745 3.725 22 0.858 1.061 2.172 2.167 24 2:307 3.091 1.060 1.059 1.058 23 0.532 0.531 0.858 0.857 0.856 2.069 25 2.301 2.485 2.612 3.078 24 2.064 2.060 1.318 1.711 26 2,162 2.296 3.707 2.479 2.473 2.605 2.779 3.067 3.057 25 0.531 1.316 1.708 3.690 3.674 3.659 3.646 27 2.158 2.154 2.291 2.598 2.771 0.856 0.855 0.855 0.854 0.854 1.706 1.703 1.701 2.056 28 2.286 2.282 26 0.256 0.531 0.531 0.530 1.058 1.315 1.314 1.313 2.467 2,462 2.592 2.763 3.047 3.038 2.586 2.581 27 0.256 1.057 2.052 29 2.150 2.756 2.457 3.030 1.056 1.055 28 0.256 2.048 30 2.147 2,278 2.750 29 30 0.256 0.256 2.045 2042 0.530 1.311 1.699 40 2.123 2.250 2.423 2,542 2.704 2.971 3.551 0.530 1.055 1.310 1.697 2,223 2.196 2.504 2.468 2,915 2,860 2.807 3.460 3.373 2,099 2.390 2.358 60 2.660 2.021 120 2.076 2.617 0.529 0.527 40 0.255 0.851 1.050 1.303 1.684 60 0.254 0.848 2.054 2.170 2.326 2.432 2,576 3.291 1.045 1.041 1.296 1.671 2.000 00 1.658 1.645 1.980 1.960 120 0.254 0,253 0.526 0.845 1.289 0.524 0.842 1.036 1.282
Transcribed Image Text:1318 Appendices Appendix B Tables 1317 TABLE B.2 TABLE B.2 (concluded) Entry is t(A; v) where P{t(v) < t(A; v)} = A Percentiles Percentiles of the t Distribution. of the t Distribution. A t(A; v) A A 98 ,985 .99 .9925 .995 .9975 .9995 .60 .70 .80 .85 .90 .95 .975 21.205 42.434 8.073 5.047 4.088 127.322 14.089 7.453 5.598 4.773 63.657 9.925 1 15.895 31.821 636.590 31.598 4.849 5.643 6.965 4.541 1 0.325 0.727 1.376 1.963 3.078 6.314 12.706 2 1.061 0.978 0.941 0.920 1.386 1.250 1.190 1.156 3.482 3.896 2.999 3.298 2.757 5.841 4.604 12.924 8.610 6.869 2 0.289 0.617 0.584 1.886 2.920 2.353 2.132 2.015 4.303 3.747 3.365 '3 4 0.277 0.271 0.267 1.638 1.533 3.182 5 3.003 3.634 4.032 4 0.569 2.776 5 2.571 2.612 3.372 3.203 3.085 2.998 0.559 1.476 6. 829 3.143 2,998 3.707 4.317 5.9 2,517 2.449 2.398 2.359 2,715 3.499 3.355 4.029 0.906 0.896 5.408 5.041 0.265 0.263 0.262 0.261 0.260 0.553 0.549 0.546 1.440 1,415 1.397 6 1.134 1.943 2.447 8 2.634 2.574 2,896 3.833 1.119 1,108 1.100 1.093 7 1.895 2,365 2,821 2,764 9 3.250 3.690 4.781 8 0.889 1.860 2.306 10 2.527 2.932 3.169 3.581 4.587 2.262 2.228 9 0.543 0.883 1.383 1.833 2,718 2.681 2.650 2.624 2.602 10 0.542 0.879 1.372 1.812 11 2.328 2.491 2.879 3.106 3.497 4.437 3.428 2,303 2.282 2.264 2.836 2.801 2.771 4.318 4.221 4.140 12 2.461 2.436 2.415 2.397 3.055 3.012 2.977 2.947 1.088 2,201 2.179 2.160 11 0.260 1.796 0.540 0.539 0.537 0.537 0.876 1.363 3.372 3.326 13 12 0.259 0.873 1.083 1.356 1.350 1.782 14 0.870 0.868 1.079 1.076 1.771 1.761 1.753 13 0.259 15 2.249 2.746 3.286 4.073 0.258 0.258 1.345 1.341 2,145 2.131 14 16 2,235 2.382 2.583 2,724 2.921 3.252 4.015 15 0.536 0.866 1.074 2.567 2,552 2.898 2.878 2.224 2.368 3.222 2.706 2.689 17 3.965 0.258 0.257 0.257 0,257 0.257 16 2.120 0.535 0.534 0.865 1.071 1.337 1.746 3.922 3.883 18 2.214 2.356 3.197 0.863 0.862 0.861 1.069 1.067 1.066 1.064 1.740 1.734 1.729 1.725 1.333 1.330 17 2.110 2.205 2.197 2.346 2.336 2.861 2.845 3.174 3.153 19 2,539 2.674 2.101 2.093 2.086 18 0.534 20 2.528 2.661 3.849 19 0.533 1.328 2.518 2,508 3.819 21 22 2,189 2.183 2,328 2.649 2.831 3.135 3.119 20 0.533 0.860 1.325 2.320 2.313 2.639 2.819 3.792 0.257 0.256 0.256 0.256 0.256 1.323 1.321 1.319 2.080 2.074 21 0.532 0.532 0.859 1.063 1.721 2.629 2.620 2.807 2.797 2.787 23 2.177 3.104 3.768 2.500 2.492 1.717 1.714 3.745 3.725 22 0.858 1.061 2.172 2.167 24 2:307 3.091 1.060 1.059 1.058 23 0.532 0.531 0.858 0.857 0.856 2.069 25 2.301 2.485 2.612 3.078 24 2.064 2.060 1.318 1.711 26 2,162 2.296 3.707 2.479 2.473 2.605 2.779 3.067 3.057 25 0.531 1.316 1.708 3.690 3.674 3.659 3.646 27 2.158 2.154 2.291 2.598 2.771 0.856 0.855 0.855 0.854 0.854 1.706 1.703 1.701 2.056 28 2.286 2.282 26 0.256 0.531 0.531 0.530 1.058 1.315 1.314 1.313 2.467 2,462 2.592 2.763 3.047 3.038 2.586 2.581 27 0.256 1.057 2.052 29 2.150 2.756 2.457 3.030 1.056 1.055 28 0.256 2.048 30 2.147 2,278 2.750 29 30 0.256 0.256 2.045 2042 0.530 1.311 1.699 40 2.123 2.250 2.423 2,542 2.704 2.971 3.551 0.530 1.055 1.310 1.697 2,223 2.196 2.504 2.468 2,915 2,860 2.807 3.460 3.373 2,099 2.390 2.358 60 2.660 2.021 120 2.076 2.617 0.529 0.527 40 0.255 0.851 1.050 1.303 1.684 60 0.254 0.848 2.054 2.170 2.326 2.432 2,576 3.291 1.045 1.041 1.296 1.671 2.000 00 1.658 1.645 1.980 1.960 120 0.254 0,253 0.526 0.845 1.289 0.524 0.842 1.036 1.282
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