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Statistical Methods III

by: Dimitri Torphy

Statistical Methods III STA 4164

Dimitri Torphy
University of Central Florida
GPA 3.67

Xiaogang Su

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Xiaogang Su
Class Notes
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This 2 page Class Notes was uploaded by Dimitri Torphy on Thursday October 22, 2015. The Class Notes belongs to STA 4164 at University of Central Florida taught by Xiaogang Su in Fall. Since its upload, it has received 41 views. For similar materials see /class/227638/sta-4164-university-of-central-florida in Statistics at University of Central Florida.

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Date Created: 10/22/15
8 ePIIS T7 ePIIS The Table of Cell Means Bone Development Severely Moderately Mildly Averages Gender Depressed Depressed Depressed ale 20 1 9 1657 Female 24 21 9 1628 Column Averages 21 202 9 1643 saws s 1 nz 9L m asuu sal ueam I ePIIS Z ePIIS Regression With Dummy Variables TwoWay ANOVA Human growth hormone was administered at a clinical research center to growth hormone de cient7 short children who had not yet reached puberty The investigator was interested in the effects of gender factor A and bone development factor B on the rate of growth induced by the hormone administration7 which is measured as the growth rate difference in centimeters per month Bone Development Severely Moderately Mildly Gender Depressed Depressed Depressed Male 14 2 7 2 4 1 7 11 22 Female 24 25 5 1 8 9 20 13 L ePIIS 8 ePIIS SSE for Several Model Fits Model SSE ya Bo51z562z az 6 z 55zEz5 5 13000 ya Bo51z552z az si 13754 ya 5051ZE5i 57714 yi Bo 51d 62 a a 14680 Can the TWOWay ANOVA technique be applied OH Test Whether gender and bone interact F 232 and F9528 440 9 Test the main effect of gender F 673 and F95110 496 F Test the main effect of bone F 1598 and F95210 410 9 ePIIS 9 ePIIS Regression Approach With Dummy Variablesi First7 we de ne one Dummy variable 2G to account for gender and two dummy variables 2i3 and 25 to account for bone development ZG 7 1 if the ith Child is Male 2 0 if the ith child is Female if ith Child s bone development Was Moderately depressed Z Z OH if ith Child s bone development Was not Moderate depressed if ith Child s bone development Was Severely depressed OH if ith Child s bone development Was not Severely depressed M00161 yi 50 51 ZiG 2 2 5 53 2132 4 3925 55 39 2132 i id response gender bone z zl z2 z zl z z2 1 14 M Severe 1 0 1 0 1 2 24 M Severe 1 0 1 0 1 3 22 M Severe 1 0 1 0 1 4 21 M Moderate 1 1 0 1 0 5 17 M Moderate 1 1 0 1 0 6 07 M Mild 1 0 0 0 0 7 11 M Mild 1 0 0 0 0 8 24 F Severe 0 0 1 0 0 9 25 F Moderate 0 1 0 0 0 10 18 F Moderate 0 1 0 0 0 11 20 F Moderate 0 1 0 0 0 12 05 F Mild 0 0 0 0 0 13 09 F Mild 0 0 0 0 0 14 1 3 F 0 0 0 0 0 Mild


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