1. 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.
2. 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
------------
4 6 9
2 4 2
a. Compute L for each subject using the contrast weights -1, 0, and 1. That is, compute (-1)(a) + (0)(b) + (1)(c) for each subject.
L1 -1*4+0*6+1*7=3
L2 -1*3+0*7+1*8=5
L3 -1*2+0*8+1*5=3
L4 --test on this column (with the L