Statistics



Statistics

Problem 1

a) Compute basic descriptive statistics for each of the three happiness groups.

Descriptive statistics

Age of respondent

N

Mean

Std. Deviation

Std. Error

95% Confidence Interval for Mean

Minimum

Maximum

Lower Bound

Upper Bound

VERY HAPPY

434

47.86

16.980

.815

46.26

49.46

18

89

PRETTY HAPPY

796

45.24

17.110

.606

44.05

46.44

18

89

NOT TOO HAPPY

157

49.80

18.567

1.482

46.88

52.73

18

88

Total

1387

46.58

17.306

.465

45.67

47.49

18

89

b) Make box plots of age for the three groups (below).

c) Does the assumption of equal variances in the group appear reasonable? Perform a one-way analysis of variance on these data (below).

ANOVA

Age of respondent

Sum of Squares

df

Mean Square

F

Sig.

Between Groups

3762.133

2

1881.066

6.329

.002

Within Groups

411351.814

1384

297.220

Total

415113.947

1386

Post Hoc Tests

Multiple Comparisons

Dependent Variable: Age of respondent

Bonferroni

(I) GENERAL HAPPINESS

(J) GENERAL HAPPINESS

Mean Difference (I-J)

Std. Error

Sig.

95% Confidence Interval

Lower Bound

Upper Bound

VERY HAPPY

PRETTY HAPPY

2.617*

1.029

.033

.15

5.08

NOT TOO HAPPY

-1.941

1.606

.681

-5.79

1.91

PRETTY HAPPY

VERY HAPPY

-2.617*

1.029

.033

-5.08

-.15

NOT TOO HAPPY

-4.558*

1.505

.008

-8.17

-.95

NOT TOO HAPPY

VERY HAPPY

1.941

1.606

.681

-1.91

5.79

PRETTY HAPPY

4.558*

1.505

.008

.95

8.17

*. The ...