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For a 1 x 2 table (i.e., a single binomial Y based on n trials, with probabilities ♬ and 1 - π), consider testing Ho: π = ♫). a. Show that the Pearson residuals are (y - пло)/√nло and − ( y − não)/√√n(1 — πo), which have differing absolute values when л ‡ 0.50. b. Show that the standardized residuals are (y – ηπο)/γηπο(1 – πο) and – (y – ηπο)/ γηπο(1 – πο). Explain why these are more suitable than Pearson residuals.

For a 1 x 2 table (i.e., a single binomial Y based on n trials, with probabilities ♬ and 1 - π), consider testing Ho: π = ♫). a. Show that the Pearson residuals are (y - пло)/√nло and − ( y − não)/√√n(1 — πo), which have differing absolute values when л ‡ 0.50. b. Show that the standardized residuals are (y – ηπο)/γηπο(1 – πο) and – (y – ηπο)/ γηπο(1 – πο). Explain why these are more suitable than Pearson residuals.

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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3.33 For a 1 x 2 table (i.e., a single binomial Y based on n trials, with probabilities a and 1- 7), consider testing Ho: = 10. a. Show that the Pearson residuals are (у — ппо)//пло and - )- π0)/V (1- πο), which have differing absolute values when 7o + 0.50. b. Show that the standardized residuals are (y- nπ0)/Vηπρ(1- πο) and - y-ηπ)/ Vn πο(1 - πο). Explain why these are more suitable than Pearson residuals,
Transcribed Image Text:3.33 For a 1 x 2 table (i.e., a single binomial Y based on n trials, with probabilities a and 1- 7), consider testing Ho: = 10. a. Show that the Pearson residuals are (у — ппо)//пло and - )- π0)/V (1- πο), which have differing absolute values when 7o + 0.50. b. Show that the standardized residuals are (y- nπ0)/Vηπρ(1- πο) and - y-ηπ)/ Vn πο(1 - πο). Explain why these are more suitable than Pearson residuals,
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