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Multivariate Tests a Effect Value F Hypothesis df Error df Sig. Partial Eta Squa

ID: 3292764 • Letter: M

Question

Multivariate Testsa

Effect

Value

F

Hypothesis df

Error df

Sig.

Partial Eta Squared

Intercept

Pillai's Trace

.994

9999.866b

3.000

192.000

.000

.994

Wilks' Lambda

.006

9999.866b

3.000

192.000

.000

.994

Hotelling's Trace

156.248

9999.866b

3.000

192.000

.000

.994

Roy's Largest Root

156.248

9999.866b

3.000

192.000

.000

.994

x1

Pillai's Trace

.612

28.357

6.000

386.000

.000

.306

Wilks' Lambda

.389

38.678b

6.000

384.000

.000

.377

Hotelling's Trace

1.573

50.072

6.000

382.000

.000

.440

Roy's Largest Root

1.572

101.152c

3.000

193.000

.000

.611

x3

Pillai's Trace

.187

14.698b

3.000

192.000

.000

.187

Wilks' Lambda

.813

14.698b

3.000

192.000

.000

.187

Hotelling's Trace

.230

14.698b

3.000

192.000

.000

.187

Roy's Largest Root

.230

14.698b

3.000

192.000

.000

.187

x1 * x3

Pillai's Trace

.127

4.363

6.000

386.000

.000

.064

Wilks' Lambda

.875

4.415b

6.000

384.000

.000

.065

Hotelling's Trace

.140

4.465

6.000

382.000

.000

.066

Roy's Largest Root

.120

7.708c

3.000

193.000

.000

.107

a. Design: Intercept + x1 + x3 + x1 * x3

b. Exact statistic

c. The statistic is an upper bound on F that yields a lower bound on the significance level.

Write up the results of the above multivariate test

Multivariate Testsa

Effect

Value

F

Hypothesis df

Error df

Sig.

Partial Eta Squared

Intercept

Pillai's Trace

.994

9999.866b

3.000

192.000

.000

.994

Wilks' Lambda

.006

9999.866b

3.000

192.000

.000

.994

Hotelling's Trace

156.248

9999.866b

3.000

192.000

.000

.994

Roy's Largest Root

156.248

9999.866b

3.000

192.000

.000

.994

x1

Pillai's Trace

.612

28.357

6.000

386.000

.000

.306

Wilks' Lambda

.389

38.678b

6.000

384.000

.000

.377

Hotelling's Trace

1.573

50.072

6.000

382.000

.000

.440

Roy's Largest Root

1.572

101.152c

3.000

193.000

.000

.611

x3

Pillai's Trace

.187

14.698b

3.000

192.000

.000

.187

Wilks' Lambda

.813

14.698b

3.000

192.000

.000

.187

Hotelling's Trace

.230

14.698b

3.000

192.000

.000

.187

Roy's Largest Root

.230

14.698b

3.000

192.000

.000

.187

x1 * x3

Pillai's Trace

.127

4.363

6.000

386.000

.000

.064

Wilks' Lambda

.875

4.415b

6.000

384.000

.000

.065

Hotelling's Trace

.140

4.465

6.000

382.000

.000

.066

Roy's Largest Root

.120

7.708c

3.000

193.000

.000

.107

a. Design: Intercept + x1 + x3 + x1 * x3

b. Exact statistic

c. The statistic is an upper bound on F that yields a lower bound on the significance level.

Explanation / Answer

Effect due to intercept x1,x 3 and intraction effect between x1 and x3 is significant as sig p value is 0.000 this means there is significant difference between x1, x2 and intraction effect x1 x2