In: Statistics and Probability
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.
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 |