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Hi, I need help answering Bernard rosner 8th edittion chapter 12 problem (it is

ID: 3305971 • Letter: H

Question

Hi, I need help answering Bernard rosner 8th edittion chapter 12 problem (it is problem 12.56-12.60)

A study was conducted to asses the effect of atrovastain with or without antibody to serum protein convertase subtilisin/kexin (PSCSK9) in reducing cholesterol among patients with high cholesterol. The antibody will be referred to as SAR236553. There were 3 treatment groups:

Group A: atrovastain 80 mg+placebo

Gorup B: atrovastain 10 mg+ SAR236553

Group C: atrovastain 80 mg+ SAR236553

Although the patients were randomly assigned to treatment groups, there still may be some baseline imbalance among important covariates. One of the most important covariate is baseline cholestrol HDL. The date in the table were presented

12.56- what test can be used to assess whether there are overall difrrences in mean HDL cholesterol among the three treatment groups?

12.57- state the hypoteses to be tested

12-58- what is your best estimate of the variance of HDL cholesterol within a treatment group?

12.59- What is the test statistic to perfom the test in problem 12.56 based on the table data

12.60- what is the two-sided P value associated with this test statistic in problem 12.59

Group Mean (mg/dl) sd n A 53.9 17.2 31 B 52.8 14.8 31 C 59.0 14.4 30 Overall 55.2 15.6 92

Explanation / Answer

12.56 ) one way ANOVA needs to be done:

12.57: null hypothesis: Ho: all groups have equal mean values

12.58) alternate hypothesis : at least two of the groups have different mean

12.59)

test statistic to perform the test =F =1.377

12.60) p value =0.2576

i ni Xi Si^2 ni*(Xi- grand mean)^2 (ni-1)*Si^2 A 31 53.9 295.840 51.779 8875.200 B 31 52.8 219.040 177.430 6571.200 C 30 59 207.360 434.937 6013.440 Weighted mean 55.192 664.145 21459.840 SSG SSE Source of variation SS df MS F P value treatment 664.145 2 332.072 1.377 0.2576 error 21459.840 89 241.122 total 22123.985 91
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