Computer Assignment III

Computer Assignment III

Question

To test whether memory changes with age, a researcher conducts an experiment in which there are four groups of six subjects each. The groups differ according to the age of subjects. In group 1, the subjects are each 30 years old; group 2, 40 years old; group 3, 50 years old; and group 4, 60 years old. Assume that the subjects are all in good health ad that the groups are matched on other important variables such as years of education, IQ, gender, motivation, and so on. Each subject is shown a series of nonsense syllables at a rate of one syllable every 4 seconds. The series is shown twice after which the subjects are asked to write down as many of the syllables as they can remember. The number of syllables remembered by each subject is shown here: (Christensen, 2002).

30 Years old

40 Years Old

50 Years old

60 Years old

14

12

17

13

13

15

14

10

15

16

14

7

17

11

9

8

12

12

13

6

10

18

15

9

Solution

Descriptive

Number of Syllables

N

Mean

Std. Deviation

Std. Error

95% Confidence Interval for Mean

Minimum

Maximum

Lower Bound

Upper Bound

30 Years Old

6

13.50

2.429

.992

10.95

16.05

10

17

40 Years Old

6

14.00

2.757

1.125

11.11

16.89

11

18

50 Years Old

6

13.67

2.658

1.085

10.88

16.46

9

17

60 Years Old

6

8.83

2.483

1.014

6.23

11.44

6

13

Total

24

12.50

3.244

.662

11.13

13.87

6

18

Interpretation

The descriptive statistics is an effectual study through which the summary and nature of data has analyzed. The highest mean value has noticed in 40 years old whereas the lowest mean value has noticed in 60 years old values. The standard deviation defines that how far is from the mean value (Christensen, 2002) (Christensen, 2002).

a. ANOVA Test

ANOVA

Number of Syllables

Sum of Squares

df

Mean Square

F

Sig.

Between Groups

108.333

3

36.111

5.403

.007

Within Groups

133.667

20

6.683

Total

242.000

23

Robust Tests of Equality of Means

Number of Syllables

Statistic

df1

df2

Sig.

Welch

5.056

3

11.099

.019

Brown-Forsythe

5.403

3

19.793

.007

a. Asymptotically F distributed.

Test of Homogeneity of Variances

Number of Syllables

Levene Statistic

df1

df2

Sig.

.195

3

20

.898

b. The f value defines the significance level of the test. It also defines the null hypothesis is rejecting and fails to accept the alternative hypothesis (Rice, 1989) (Rice, 1989).

e. These tests can be finding out by using SPSS

Go to- Analyze- Compare Means- One Way ANOVA-Options

Through these tests we can ...