Statistical Analysis of Hypothesis Testing and Comparative Studies
Exploration of hypothesis testing and comparative data analysis techniques.
Lily Green
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Statistical Analysis of Hypothesis Testing and Comparative Studies
18. You choose an alpha level of .01 and then analyze your data.
a. What is the probability that you will make a Type I error given that the null
hypothesis is true?
The probability of type I error is actually alpha given that the null hypothesis is true
so it is 0.01.
b. What is the probability that you will make a Type I error given that the null
hypothesis is false?
When null hypothesis is false, it is impossible to make a type I error. It means
probability that you will make a type I error given that the null hypothesis is false is
zero.
7. Below are data showing the results of six subjects on a memory test. The three
scores per subject are their scores on three trials (a, b, and c) of a memory task.
Are the subjects get- ting better each trial? Test the linear effect of trial for the data.
a b c
4 6 7
3 7 8
2 8 5
1 4 7
4 6 9
2 4 2
18. You choose an alpha level of .01 and then analyze your data.
a. What is the probability that you will make a Type I error given that the null
hypothesis is true?
The probability of type I error is actually alpha given that the null hypothesis is true
so it is 0.01.
b. What is the probability that you will make a Type I error given that the null
hypothesis is false?
When null hypothesis is false, it is impossible to make a type I error. It means
probability that you will make a type I error given that the null hypothesis is false is
zero.
7. Below are data showing the results of six subjects on a memory test. The three
scores per subject are their scores on three trials (a, b, and c) of a memory task.
Are the subjects get- ting better each trial? Test the linear effect of trial for the data.
a b c
4 6 7
3 7 8
2 8 5
1 4 7
4 6 9
2 4 2
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Subject
Statistics