Question

In: Statistics and Probability

A behavior analyst would like to evaluate the effectiveness of a new technique for controlling classroom outbursts of unruly children.

Can someone please USE SPSS and show me their analysis?

A behavior analyst would like to evaluate the effectiveness of a new technique for controlling classroom outbursts of unruly children. For a sample of n=4 children the number of outbursts is recorded 1 day before treatment and again 1 week, 1 month and 6 months after treatment. The data are as follows:

Child --Before-- 1 week --1 month-- 6 months

A --8 --2-- 1-- 1

B-- 4 --1 --1 --0

C--6-- 2-- 0-- 2

D-- 8-- 3 --4 --1

Use a repeated measures ANOVA with alpha = .05 to determine whether there are significant changes in behavior over time (write all the steps involved in testing the hypothesis). Use SPSS to solve this problem. Please make sure to show all the steps of hypothesis testing.

Solutions

Expert Solution

Result:

Can someone please USE SPSS and show me their analysis?

A behavior analyst would like to evaluate the effectiveness of a new technique for controlling classroom outbursts of unruly children. For a sample of n=4 children the number of outbursts is recorded 1 day before treatment and again 1 week, 1 month and 6 months after treatment. The data are as follows:

Child --Before-- 1 week --1 month-- 6 months

A --8 --2-- 1-- 1

B-- 4 --1 --1 --0

C--6-- 2-- 0-- 2

D-- 8-- 3 --4 --1

Use a repeated measures ANOVA with alpha = .05 to determine whether there are significant changes in behavior over time (write all the steps involved in testing the hypothesis). Use SPSS to solve this problem. Please make sure to show all the steps of hypothesis testing.

Ho: There is no changes in behavior over time

H1: There is a changes in behavior over time

Calculated F= 21.000, P=0.000 which is less than 0.05 level. Ho is rejected.

We conclude that there is significant changes in behavior over time.

Enter the data in 4 columns

v1

v2

v3

v4

8

2

1

1

4

1

1

0

6

2

0

2

8

3

4

1

In menu select Analyze, General Linear Model, Repeated Measures enter number of levels as 4 and define the 4 variables as 4 factors.

OR

Spss syntax

GLM v1 v2 v3 v4

/WSFACTOR=factor1 4 Polynomial

/METHOD=SSTYPE(3)

/PRINT=DESCRIPTIVE

/CRITERIA=ALPHA(.05)

/WSDESIGN=factor1.

Spss output:

General Linear Model

[DataSet0]

Within-Subjects Factors

Measure:   MEASURE_1

factor1

Dependent Variable

1

v1

2

v2

3

v3

4

v4

Descriptive Statistics

Mean

Std. Deviation

N

v1

6.5000

1.91485

4

v2

2.0000

.81650

4

v3

1.5000

1.73205

4

v4

1.0000

.81650

4

Multivariate Tests

Effect

Value

F

Hypothesis df

Error df

Sig.

factor1

Pillai's Trace

.948

18.062

2.000

2.000

.052

Wilks' Lambda

.052

18.062

2.000

2.000

.052

Hotelling's Trace

18.062

18.062

2.000

2.000

.052

Roy's Largest Root

18.062

18.062

2.000

2.000

.052

Mauchly's Test of Sphericity

Measure:   MEASURE_1

Within Subjects Effect

Mauchly's W

Approx. Chi-Square

df

Sig.

Epsilon

Greenhouse-Geisser

Huynh-Feldt

Lower-bound

factor1

.000

.

5

.

.640

1.000

.333

Tests of Within-Subjects Effects

Measure:   MEASURE_1

Source

Type III Sum of Squares

df

Mean Square

F

Sig.

factor1

Sphericity Assumed

77.000

3

25.667

21.000

.000

Greenhouse-Geisser

77.000

1.921

40.091

21.000

.002

Huynh-Feldt

77.000

3.000

25.667

21.000

.000

Lower-bound

77.000

1.000

77.000

21.000

.020

Error(factor1)

Sphericity Assumed

11.000

9

1.222

Greenhouse-Geisser

11.000

5.762

1.909

Huynh-Feldt

11.000

9.000

1.222

Lower-bound

11.000

3.000

3.667

Tests of Within-Subjects Contrasts

Measure:   MEASURE_1

Source

factor1

Type III Sum of Squares

df

Mean Square

F

Sig.

factor1

Linear

57.800

1

57.800

51.000

.006

Quadratic

16.000

1

16.000

12.000

.041

Cubic

3.200

1

3.200

2.667

.201

Error(factor1)

Linear

3.400

3

1.133

Quadratic

4.000

3

1.333

Cubic

3.600

3

1.200

Tests of Between-Subjects Effects

Measure:   MEASURE_1

Transformed Variable:   Average

Source

Type III Sum of Squares

df

Mean Square

F

Sig.

Intercept

121.000

1

121.000

27.923

.013

Error

13.000

3

4.333


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