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Student HCI Online Research Experiments
Abstract
Introduction
Experiment
Results
Discussion
Conclusions
Acknowledgements
References
Appendices
Credits
Feedback
SHORE 2001 : Web : The Menu Design and Navigational Efficiency of the E-Maryland Portal

Appendix C: Statistics run from the computer

 

Averages and Stand Deviations

 

T1

T2

T3

T4

T5

T6

T7

T8

T9

T10

T11

T12

ave v1

20.3

50.0

46.5

29.6

18.6

127.8

140.1

19.4

58.3

89.8

44.0

95.5

ave v2

29.0

44.0

49.5

47.3

6.1

63.8

152.1

12.3

103.9

59.3

59.0

101.4

ave v3

11.5

19.1

11.3

17.6

19.5

15.3

83.8

28.8

53.8

35.5

21.8

31.3

 

 

 

 

 

 

 

 

 

 

 

 

 

stdev v1

13.6

28.4

28.9

36.3

12.8

63.7

39.4

11.5

32.3

70.8

48.7

74.4

stdev v2

7.2

51.1

58.8

35.8

1.4

60.3

56.0

7.6

80.8

56.9

36.1

63.7

stdev v3

9.4

7.3

11.5

11.9

23.9

8.4

46.5

15.0

37.6

45.4

23.1

23.6

 

 

T-Test for each task (version 1 and version 2 : menu interface)

t-Test: Two-Sample Assuming Unequal Variances

task 1

 

 

 

 

Variable 1

Variable 2

Mean

20.25

29.00

Variance

186.21

51.14

Observations

8.00

8.00

Hypothesized Mean Difference

0.00

 

df

11.00

 

t Stat

-1.61

 

P(T<=t) one-tail

0.07

 

t Critical one-tail

1.80

 

P(T<=t) two-tail

0.14

 

t Critical two-tail

2.20

 

 

 

 

t-Test: Two-Sample Assuming Unequal Variances

task 2

 

 

 

 

Variable 1

Variable 2

Mean

50.00

44.00

Variance

807.14

2613.14

Observations

8.00

8.00

Hypothesized Mean Difference

0.00

 

df

11.00

 

t Stat

0.29

 

P(T<=t) one-tail

0.39

 

t Critical one-tail

1.80

 

P(T<=t) two-tail

0.78

 

t Critical two-tail

2.20

 

 

 

 

t-Test: Two-Sample Assuming Unequal Variances

task 3

 

 

 

 

Variable 1

Variable 2

Mean

46.50

49.50

Variance

834.86

3461.14

Observations

8.00

8.00

Hypothesized Mean Difference

0.00

 

df

10.00

 

t Stat

-0.13

 

P(T<=t) one-tail

0.45

 

t Critical one-tail

1.81

 

P(T<=t) two-tail

0.90

 

t Critical two-tail

2.23

 

 

 

 

t-Test: Two-Sample Assuming Unequal Variances

task 4

 

 

 

 

Variable 1

Variable 2

Mean

29.63

47.25

Variance

1317.70

1284.50

Observations

8.00

8.00

Hypothesized Mean Difference

0.00

 

df

14.00

 

t Stat

-0.98

 

P(T<=t) one-tail

0.17

 

t Critical one-tail

1.76

 

P(T<=t) two-tail

0.35

 

t Critical two-tail

2.14

 

 

 

 

t-Test: Two-Sample Assuming Unequal Variances

task 5

 

 

 

 

Variable 1

Variable 2

Mean

18.63

6.13

Variance

162.84

1.84

Observations

8.00

8.00

Hypothesized Mean Difference

0.00

 

df

7.00

 

t Stat

2.76

 

P(T<=t) one-tail

0.01

 

t Critical one-tail

1.89

 

P(T<=t) two-tail

0.03

 

t Critical two-tail

2.36

 

 

 

 

t-Test: Two-Sample Assuming Unequal Variances

task 6

 

 

 

 

Variable 1

Variable 2

Mean

127.75

63.75

Variance

4053.93

3638.50

Observations

8.00

8.00

Hypothesized Mean Difference

0.00

 

df

14.00

 

t Stat

2.06

 

P(T<=t) one-tail

0.03

 

t Critical one-tail

1.76

 

P(T<=t) two-tail

0.06

 

t Critical two-tail

2.14

 

 

 

 

t-Test: Two-Sample Assuming Unequal Variances

task 7

 

 

 

 

Variable 1

Variable 2

Mean

140.13

152.13

Variance

1550.98

3132.70

Observations

8.00

8.00

Hypothesized Mean Difference

0.00

 

df

13.00

 

t Stat

-0.50

 

P(T<=t) one-tail

0.31

 

t Critical one-tail

1.77

 

P(T<=t) two-tail

0.63

 

t Critical two-tail

2.16

 

 

 

 

t-Test: Two-Sample Assuming Unequal Variances

task 8

 

 

 

 

Variable 1

Variable 2

Mean

19.38

12.25

Variance

131.13

58.21

Observations

8.00

8.00

Hypothesized Mean Difference

0.00

 

df

12.00

 

t Stat

1.46

 

P(T<=t) one-tail

0.08

 

t Critical one-tail

1.78

 

P(T<=t) two-tail

0.17

 

t Critical two-tail

2.18

 

 

 

 

t-Test: Two-Sample Assuming Unequal Variances

task 9

 

 

 

 

Variable 1

Variable 2

Mean

58.25

103.88

Variance

1044.79

6526.70

Observations

8.00

8.00

Hypothesized Mean Difference

0.00

 

df

9.00

 

t Stat

-1.48

 

P(T<=t) one-tail

0.09

 

t Critical one-tail

1.83

 

P(T<=t) two-tail

0.17

 

t Critical two-tail

2.26

 

 

 

 

t-Test: Two-Sample Assuming Unequal Variances

task 10

 

 

 

 

Variable 1

Variable 2

Mean

89.75

59.25

Variance

5019.64

3231.93

Observations

8.00

8.00

Hypothesized Mean Difference

0.00

 

df

13.00

 

t Stat

0.95

 

P(T<=t) one-tail

0.18

 

t Critical one-tail

1.77

 

P(T<=t) two-tail

0.36

 

t Critical two-tail

2.16

 

 

 

 

t-Test: Two-Sample Assuming Unequal Variances

task 11

 

 

 

 

Variable 1

Variable 2

Mean

44.00

59.00

Variance

2374.00

1304.57

Observations

8.00

8.00

Hypothesized Mean Difference

0.00

 

df

13.00

 

t Stat

-0.70

 

P(T<=t) one-tail

0.25

 

t Critical one-tail

1.77

 

P(T<=t) two-tail

0.50

 

t Critical two-tail

2.16

 

 

 

 

t-Test: Two-Sample Assuming Unequal Variances

task 12

 

 

 

 

Variable 1

Variable 2

Mean

95.50

101.38

Variance

5531.43

4056.84

Observations

8.00

8.00

Hypothesized Mean Difference

0.00

 

df

14.00

 

t Stat

-0.17

 

P(T<=t) one-tail

0.43

 

t Critical one-tail

1.76

 

P(T<=t) two-tail

0.87

 

t Critical two-tail

2.14

 

 

T-Test for each task (version 2 and version 3: link hierarchy)

 

t-Test: Two-Sample Assuming Unequal Variances

task 1

 

 

 

 

Variable 1

Variable 2

Mean

29.00

11.50

Variance

51.14

88.29

Observations

8.00

8.00

Hypothesized Mean Difference

0.00

 

df

13.00

 

t Stat

4.19

 

P(T<=t) one-tail

0.00

 

t Critical one-tail

1.77

 

P(T<=t) two-tail

0.00

 

t Critical two-tail

2.16

 

 

 

 

t-Test: Two-Sample Assuming Unequal Variances

task 2

 

 

 

 

Variable 1

Variable 2

Mean

44.00

19.13

Variance

2613.14

53.27

Observations

8.00

8.00

Hypothesized Mean Difference

0.00

 

df

7.00

 

t Stat

1.36

 

P(T<=t) one-tail

0.11

 

t Critical one-tail

1.89

 

P(T<=t) two-tail

0.22

 

t Critical two-tail

2.36

 

 

 

 

 

 

 

t-Test: Two-Sample Assuming Unequal Variances

task 3

 

 

 

 

Variable 1

Variable 2

Mean

49.50

11.25

Variance

3461.14

131.64

Observations

8.00

8.00

Hypothesized Mean Difference

0.00

 

df

8.00

 

t Stat

1.80

 

P(T<=t) one-tail

0.05

 

t Critical one-tail

1.86

 

P(T<=t) two-tail

0.11

 

t Critical two-tail

2.31

 

 

 

 

t-Test: Two-Sample Assuming Unequal Variances

task 4

 

 

 

 

Variable 1

Variable 2

Mean

47.25

17.63

Variance

1284.50

142.27

Observations

8.00

8.00

Hypothesized Mean Difference

0.00

 

df

9.00

 

t Stat

2.22

 

P(T<=t) one-tail

0.03

 

t Critical one-tail

1.83

 

P(T<=t) two-tail

0.05

 

t Critical two-tail

2.26

 

 

 

 

t-Test: Two-Sample Assuming Unequal Variances

task 5

 

 

 

 

Variable 1

Variable 2

Mean

6.13

19.50

Variance

1.84

571.14

Observations

8.00

8.00

Hypothesized Mean Difference

0.00

 

df

7.00

 

t Stat

-1.58

 

P(T<=t) one-tail

0.08

 

t Critical one-tail

1.89

 

P(T<=t) two-tail

0.16

 

t Critical two-tail

2.36

 

 

 

 

t-Test: Two-Sample Assuming Unequal Variances

task 6

 

 

 

 

Variable 1

Variable 2

Mean

63.75

15.25

Variance

3638.50

70.79

Observations

8.00

8.00

Hypothesized Mean Difference

0.00

 

df

7.00

 

t Stat

2.25

 

P(T<=t) one-tail

0.03

 

t Critical one-tail

1.89

 

P(T<=t) two-tail

0.06

 

t Critical two-tail

2.36

 

 

 

 

t-Test: Two-Sample Assuming Unequal Variances

task 7

 

 

 

 

Variable 1

Variable 2

Mean

152.13

83.75

Variance

3132.70

2166.50

Observations

8.00

8.00

Hypothesized Mean Difference

0.00

 

df

14.00

 

t Stat

2.66

 

P(T<=t) one-tail

0.01

 

t Critical one-tail

1.76

 

P(T<=t) two-tail

0.02

 

t Critical two-tail

2.14

 

 

 

 

t-Test: Two-Sample Assuming Unequal Variances

task 8

 

 

 

 

Variable 1

Variable 2

Mean

12.25

28.75

Variance

58.21

225.64

Observations

8.00

8.00

Hypothesized Mean Difference

0.00

 

df

10.00

 

t Stat

-2.77

 

P(T<=t) one-tail

0.01

 

t Critical one-tail

1.81

 

P(T<=t) two-tail

0.02

 

t Critical two-tail

2.23

 

 

 

 

t-Test: Two-Sample Assuming Unequal Variances

task 9

 

 

 

 

Variable 1

Variable 2

Mean

103.88

53.75

Variance

6526.70

1411.36

Observations

8.00

8.00

Hypothesized Mean Difference

0.00

 

df

10.00

 

t Stat

1.59

 

P(T<=t) one-tail

0.07

 

t Critical one-tail

1.81

 

P(T<=t) two-tail

0.14

 

t Critical two-tail

2.23

 

 

 

 

t-Test: Two-Sample Assuming Unequal Variances

task 10

 

 

 

 

Variable 1

Variable 2

Mean

59.25

35.50

Variance

3231.93

2065.43

Observations

8.00

8.00

Hypothesized Mean Difference

0.00

 

df

13.00

 

t Stat

0.92

 

P(T<=t) one-tail

0.19

 

t Critical one-tail

1.77

 

P(T<=t) two-tail

0.37

 

t Critical two-tail

2.16

 

 

 

 

t-Test: Two-Sample Assuming Unequal Variances

task 11

 

 

 

 

Variable 1

Variable 2

Mean

59.00

21.75

Variance

1304.57

531.64

Observations

8.00

8.00

Hypothesized Mean Difference

0.00

 

df

12.00

 

t Stat

2.46

 

P(T<=t) one-tail

0.02

 

t Critical one-tail

1.78

 

P(T<=t) two-tail

0.03

 

t Critical two-tail

2.18

 

 

 

 

t-Test: Two-Sample Assuming Unequal Variances

task 12

 

 

 

 

Variable 1

Variable 2

Mean

101.38

31.25

Variance

4056.84

557.36

Observations

8.00

8.00

Hypothesized Mean Difference

0.00

 

df

9.00

 

t Stat

2.92

 

P(T<=t) one-tail

0.01

 

t Critical one-tail

1.83

 

P(T<=t) two-tail

0.02

 

t Critical two-tail

2.26

 

 

 

ANOVA

 

Anova: Single Factor

 

t1

 

 

 

 

 

 

 

 

 

 

 

SUMMARY

 

 

 

 

 

 

Groups

Count

Sum

Average

Variance

 

 

Column 1

8.00

162.00

20.25

186.21

 

 

Column 2

8.00

232.00

29.00

51.14

 

 

Column 3

8.00

92.00

11.50

88.29

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

ANOVA

 

 

 

 

 

 

Source of Variation

SS

df

MS

F

P-value

F crit

Between Groups

1225.00

2.00

612.50

5.64

0.01

3.47

Within Groups

2279.50

21.00

108.55

 

 

 

 

 

 

 

 

 

 

Total

3504.50

23.00