Intermediate Biostatistics: Unit 7 - Analysis of Variance Practice Problems - Prof. Carol , Assignments of Community Health

Download Intermediate Biostatistics: Unit 7 - Analysis of Variance Practice Problems - Prof. Carol and more Assignments Community Health in PDF only on Docsity! PubHlth 640 Intermediate Biostatistics 1 Unit 7 – Analysis of Variance Practice Problems - Week #12 Due Monday May 4, 2009 Consider the little data set of n=12 observations on page 62 of Lecture Notes 7. Introduction to Analysis of Variance. Light (LIGHT) Water Temp (TEMP) Fish Growth (GROWTH) 1=low 1=cold 4.55 1=low 1=cold 4.24 1=low 2=lukewarm 4.89 1=low 2=lukewarm 4.88 1=low 3=warm 5.01 1=low 3=warm 5.11 2=high 1=cold 5.55 2=high 1=cold 4.08 2=high 2=lukewarm 6.09 2=high 2=lukewarm 5.01 2=high 3=warm 7.01 2=high 3=warm 6.92 Wk12_practice.doc PubHlth 640 Intermediate Biostatistics 2 (1) By whatever means you like, create a data set that has the following variables, codings and meanings. Variable Coding GROWTH continuous LIGHT 1 = low 2 = high I_HIGH = 1 if (LIGHT is 2) 0 otherwise TEMP 1 = cold 2 = lukewarm 3 = warm I_LUKE = 1 if (TEMP is 2) 0 otherwise I_WARM = 1 if (TEMP is 3) 0 otherwise HI_LUKE = (I_HIGH) * (I_LUKE) HI_WARM = (I_HIGH)*(I_WARM) (2) Perform a two way analysis of variance so as to reproduce the following table Source Df SSQ MSQ F p-value Due LIGHT 1 2.98 2.98 10.39 .018 Due TEMP 2 3.984 1.992 6.95 .027 Due Interaction 3 1.268 0.634 2.21 .191 Error 6 1.721 0.287 Total (Corrected) 11 9.953 - (3) Perform a regression analysis to obtain the following table and estimates Source Df SSQ MSQ F p-value Due Model 5 8.2320 1.6464 5.74 .0276 Due Residual 6 1.7208 0.2868 - Total (Corrected) 11 9.953 - Predictor beta Se(beta) T=beta/se p-value I_high 0.42 0.5355 0.78 0.46 I_luke 0.49 0.5355 0.91 0.395 I_warm 0.665 0.5355 1.24 0.261 Hi_luke 0.245 0.7574 0.32 0.757 Hi_warm 1.485 0.7574 1.96 0.098 Intercept 4.395 0.3787 11.61 0.000 Wk12_practice.doc