Find Tukey-Kramer results: a. Group 1 to Group 2: Different / Not Different b. G

Question

Find Tukey-Kramer results:

a. Group 1 to Group 2: Different / Not Different

b. Group 1 to Group 3: Different / Not Different

c. Group 1 to Group 4: Different / Not Different

d. Group 2 to Group 3: Different / Not Different

e. Group 2 to Group 4: Different / Not Different

f. Group 3 to Group 4: Different / Not Different

Design1 Design2 Design3 Design4 206.32 217.08 226.77 230.55 207.94 221.43 224.79 227.95 206.19 218.04 229.75 231.84 204.45 224.13 228.51 224.87 209.65 211.82 221.44 229.49 203.81 213.90 223.85 231.10 206.75 221.28 223.97 221.53 205.68 229.43 234.30 235.45 204.49 213.54 219.50 228.35 210.86 214.51 233.00 225.09

Explanation / Answer

The SPSS ANOVA output for the given data is

Multiple Comparisons

Response

Tukey HSD

(I) Design

(J) Design

Mean Difference (I-J)

Std. Error

Sig.

95% Confidence Interval

Lower Bound

Upper Bound

1.00

2.00

-11.90200*

1.93911

.000

-17.1245

-6.6795

3.00

-19.97400*

1.93911

.000

-25.1965

-14.7515

4.00

-22.00800*

1.93911

.000

-27.2305

-16.7855

2.00

1.00

11.90200*

1.93911

.000

6.6795

17.1245

3.00

-8.07200*

1.93911

.001

-13.2945

-2.8495

4.00

-10.10600*

1.93911

.000

-15.3285

-4.8835

3.00

1.00

19.97400*

1.93911

.000

14.7515

25.1965

2.00

8.07200*

1.93911

.001

2.8495

13.2945

4.00

-2.03400

1.93911

.722

-7.2565

3.1885

4.00

1.00

22.00800*

1.93911

.000

16.7855

27.2305

2.00

10.10600*

1.93911

.000

4.8835

15.3285

3.00

2.03400

1.93911

.722

-3.1885

7.2565

*. The mean difference is significant at the 0.05 level.

a. Group 1 to Group 2: Different / Not Different

The Significant value =0.000, so conclude that these groups are significantly different.

b. Group 1 to Group 3: Different / Not Different

The Significant value =0.000, so conclude that these groups are significantly different.

c. Group 1 to Group 4: Different / Not Different

The Significant value =0.000, so conclude that these groups are significantly different.

d. Group 2 to Group 3: Different / Not Different

The Significant value =0.001, This value is less than 0.05 so conclude that these groups are significantly different at 5% level.

e. Group 2 to Group 4: Different / Not Different

The Significant value =0.000, so conclude that these groups are significantly different.

f. Group 3 to Group 4: Different / Not Different

The Significant value =0.722, A high p-value indicates to accepting the null hypothesis. so conclude that these groups are not significantly different.

Multiple Comparisons

Response

Tukey HSD

(I) Design

(J) Design

Mean Difference (I-J)

Std. Error

Sig.

95% Confidence Interval

Lower Bound

Upper Bound

1.00

2.00

-11.90200*

1.93911

.000

-17.1245

-6.6795

3.00

-19.97400*

1.93911

.000

-25.1965

-14.7515

4.00

-22.00800*

1.93911

.000

-27.2305

-16.7855

2.00

1.00

11.90200*

1.93911

.000

6.6795

17.1245

3.00

-8.07200*

1.93911

.001

-13.2945

-2.8495

4.00

-10.10600*

1.93911

.000

-15.3285

-4.8835

3.00

1.00

19.97400*

1.93911

.000

14.7515

25.1965

2.00

8.07200*

1.93911

.001

2.8495

13.2945

4.00

-2.03400

1.93911

.722

-7.2565

3.1885

4.00

1.00

22.00800*

1.93911

.000

16.7855

27.2305

2.00

10.10600*

1.93911

.000

4.8835

15.3285

3.00

2.03400

1.93911

.722

-3.1885

7.2565

*. The mean difference is significant at the 0.05 level.

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