New research suggests that the occurrence of celiac disease in a subject depends on the subject’s gender and whether the subject already has another autoimmune disorder (such as Hashimoto disease and/or Type I Diabetes). Researchers collected information from 860 patients complaining of gastrointestinal discomfort. a) Conduct the appropriate hypothesis test at a 5% significance level to test whether adding information about Hashimoto disease and Type I Diabetes as predictors together significantly improves the initial model for occurrence of Celiac disease based on gender. Provide null and alternative hypotheses, test statistic, df, test result and your interpretation. b) Based on the data input into SAS, compute the observed odds of having Celiac disease for a male who does not have Hashimoto disease nor Type I Diabetes. No need for interpretation. c) Based on the second model, compute the estimated odds of having Celiac disease for a male who does not have Hashimoto disease nor Type I Diabetes. No need for interpretation. d) Based on the crude model, compute the Wald chi-squared test statistic for testing whether gender is associated with having Celiac disease. No need to perform the actual hypothesis test. e) Compute the 95% confidence interval for the crude OR of Celiac disease for females compared to males. No need for interpretation. (z0.975 = 1.96)
New research suggests that the occurrence of celiac disease in a subject depends on the subject’s gender and whether the subject already has another autoimmune disorder (such as Hashimoto disease and/or Type I Diabetes). Researchers collected information from 860 patients complaining of gastrointestinal discomfort. a) Conduct the appropriate hypothesis test at a 5% significance level to test whether adding information about Hashimoto disease and Type I Diabetes as predictors together significantly improves the initial model for occurrence of Celiac disease based on gender. Provide null and alternative hypotheses, test statistic, df, test result and your interpretation. b) Based on the data input into SAS, compute the observed odds of having Celiac disease for a male who does not have Hashimoto disease nor Type I Diabetes. No need for interpretation. c) Based on the second model, compute the estimated odds of having Celiac disease for a male who does not have Hashimoto disease nor Type I Diabetes. No need for interpretation. d) Based on the crude model, compute the Wald chi-squared test statistic for testing whether gender is associated with having Celiac disease. No need to perform the actual hypothesis test. e) Compute the 95% confidence interval for the crude OR of Celiac disease for females compared to males. No need for interpretation. (z0.975 = 1.96)
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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New research suggests that the occurrence of celiac disease in a subject depends on the subject’s gender and whether the subject already has another autoimmune disorder (such as Hashimoto disease and/or Type I Diabetes). Researchers collected information from 860 patients complaining of gastrointestinal discomfort.
a) Conduct the appropriate hypothesis test at a 5% significance level to test whether adding information about Hashimoto disease and Type I Diabetes as predictors together significantly improves the initial model for occurrence of Celiac disease based on gender. Provide null and alternative hypotheses, test statistic, df, test result and your interpretation.
b) Based on the data input into SAS, compute the observed odds of having Celiac disease for a male who does not have Hashimoto disease nor Type I Diabetes. No need for interpretation.
c) Based on the second model, compute the estimated odds of having Celiac disease for a male who does not have Hashimoto disease nor Type I Diabetes. No need for interpretation.
d) Based on the crude model, compute the Wald chi-squared test statistic for testing whether gender is associated with having Celiac disease. No need to perform the actual hypothesis test.
e) Compute the 95% confidence interval for the crude OR of Celiac disease for females compared to males. No need for interpretation. (z0.975 = 1.96)
Transcribed Image Text:data celiac;
input gender
$ hashimoto $
tldiabetes $ positive total;
cards;
female yes yes 27 124
female yes no 21 133
female no yes 22 117
female no no 16 109
male yes yes 14 95
male yes no 14 87
male no yes 9 97
male no no 11 99
;
run;
title "Logistic model with gender";
proc logistic data-celiac;
class gender (ref='male') /
param=ref;
model positive/total = gender;
run;
title "Logistic model with gender
adjusted for presence of autoimune
(tldiabetes and
hashimoto) diseases";
proc logistic data-celiac;
class gender (ref='male') /
param=ref;
class hashimoto (ref='no') /
param=ref;
class tldiabetes (ref='no') /
param=ref;
model positive/total
hashimoto tldiabetes;
run;
=
gender
Transcribed Image Text:Criterion Intercept Only
Logistic model with gender
Model Fit Statistics
AIC 746.519
SC 751.277
-2 Log L 744.519
Effect
gender 1
Effect
Type 3 Analysis of Effects
Wald
DF
Chi-Square
4.1718
Intercept and Covariates
Log Likelihood Full Log Likelihood
744.247
44.560
753.763
54.076
740.247
40.560
Analysis of Maximum Likelihood Estimates
Standard Wald
Parameter
DF Estimate
Error Chi-Square
Intercept
1 -1.9278
0.1545 155.7443 <.0001
0.0411
gender female1 0.3982
10.1950 4.1718
Odds Ratio Estimates
gender female vs male 1.489
AIC 746.519
SC 751.277
-2 Log L 744.519
Criterion Intercept Only
95% Wald
Point Estimate Confidence Limits
1.016 2.182
Logistic model with gender adjusted for presence of
autoimune (t1 diabetes andhashimoto) diseases
Pr>ChiSq
0.0411
Model Fit Statistics
Type 3 Analysis of Effects
Wald
Chi-Square"
Intercept and Covariates
Log Likelihood Full Log Likelihood
745.611
45.924
764.644
64.957
737.611
37.924
Effect DF
gender 1 3.9519 0.0468
hashimoto 1 1.8354
0.1755
t1diabetes 1 0.8168
0.3661
Pr>ChiSq
Parameter
Intercept
gender female 1 0.3885
Analysis of Maximum Likelihood Estimates
DF Estimate
Standard Wald
Error Chi-Square
-2.1479 0.2118
Effect
gender female vs male 1.475
hashimoto yes vs no
1.294
t1diabetes yes vs no 1.186
0.1954 3.9519
hashimoto yes 1 0.2577 0.1902 1.8354
t1diabetes yes 1 0.1710 0.1892 0.8168
Odds Ratio Estimates
Pr>ChiSq
Point Estimate
102.8150 <.0001
0.0468
0.1755
0.3661
Pr>ChiSq
1.005 2.163
0.891 1.878
0.819 1.719
95% Wald
Confidence Limits
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VIEWStep 4: Determine estimated odds of Celiac disease for male not having Hashimoto disease nor Type I Diabetes
VIEWStep 5: Determine the Wald chi square test statistics and 95% confidence Interval for Crude Odds Ratio(OR).
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