Question

4 and 5 please step by step solution

4. The data below are from an independent measures experiment comparing three different treatment conditions with 4 people in each treatment condition. Use Tukey's HSD test to determine which of the three treatments are significantly different from each other. Use the .05 level of significance for all tests. Treatment 1 Treatment 2 Treatment 3 X 0.5 5 1. 4 Source SS df MS Between Treatments Within Treatments Total 5. df The summary table below is from a repeated-measures ANOVA using one sample of n5 participants comparing 4 different trainings on their safety behaviors over the course of a year. Fill in the blanks and calculate eta squared Source MS Between Treatments Within Treatments Between Subjects Error Total

Answer 1

4)

Level of significance	0.05
no. of treatments,k	3
DF error =N-k=	9
MSE =	2.0000
q-statistic value(α,k,N-k)	3.9485

critical value = q*√(MSE/n)

if absolute difference of means > critical value,means are significnantly different ,otherwise not

treatment	A	B	C
count, ni =	4	4	4
mean , x̅ i =	0.500	1.50	4.000

population mean difference	critical value			result
µ1-µ2	1.00	2.79			means are not different
µ1-µ3	3.500	2.79			means are different
µ2-µ3	2.50	2.79			means are not different

Treatment 1 and treatment 3 are significantly different

5)

Source	SS	df	MS	F
B/w groups	36	3	12	3.55556
Within Group	54	16	3.375
i) B/w Subject	18	4	4.5
ii) Error	36	12	3
Total:	90	19