Question

Please answer the last step for question 1. Answer it asap please. Thanks

1. Consider the following data for three different samples from three different populations:Consider the following data for three different samples from three different populations:

Sample 1	Sample 2	Sample 3
0	6	6
4	8	5
0	5	9
1	4	4
0	2	6
T = 5	T = 25	T = 30	G = 60
SS = 12	SS = 20	SS = 14	∑X2 = 356

Compute a one-way ANOVA, with α = .05.

Step 1: State your hypotheses in SYMBOLS. Step 2: Draw your distribution and shade in the critical region (remember that you have to compute df to find the CR). Step 3a: Calculate the test statistic. Step 4: Make a decision about your hypotheses. Step 5: Compute and interpret effect size Step 6: Compute Tukey’s HSD to determine where significant differences lie 2. Factorial ANOVAs involve Main Effects and Interactions. Define the terms Main Effects and Interactions.

Answer 1

Tukey Pairwise Comparisons

Tukey Simultaneous Tests for Differences of Means

Difference SE of Adjusted
Difference of Levels of Means Difference 95% CI T-Value P-Value
sample 2 - sample 1 4.00 1.24 ( 0.70, 7.30) 3.23 0.018
sample 3 - sample 1 5.00 1.24 ( 1.70, 8.30) 4.04 0.004
sample 3 - sample 2 1.00 1.24 (-2.30, 4.30) 0.81 0.706

Grouping Information Using the Tukey Method and 95% Confidence

Factor N Mean Grouping
sample 3 5 6.000 A
sample 2 5 5.00 A
sample 1 5 1.000 B

Means that do not share a letter are significantly different.

Thus we find that the pairs (sample 3,sample 1) and (sample 2,sample 1) are significantly different.

Further, we provide a plot for clear viewing the significant pair.