Question

which mean pairs are statistically different? Mean Pairs Significantly different yes or no Control vs 2%...

which mean pairs are statistically different?

Mean Pairs Significantly different yes or no
Control vs 2% Glucose
Control vs 2% Fructose
Control vs 1% sucrose + 1% Fructose
Control vs 2% sucrose
2% Glucose vs 2% Fructose
2% Glucose vs 1% Sucrose + 1% Fructose
2% glucose vs 2% sucrose
2% fructose vs 1% sucrose +1% fructose
2% fructose vs 2%sucrose

1% sucrose +1% fructose vs 2% sucrose

Observations :

Control 2% Glucose 2% Fructose 1% Sucrose and 1% Fructose 2% Sucrose
75 57 58 58 62
67 58 61 59 66
70 60 56 58 65
75 59 58 61 63
65 62 57 57 64
71 60 56 56 62
67 60 61 58 65
67 57 60 57 65
76 59 57 57 62
68 61 58 59 67

Homework Answers

Answer #1

running anova

ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 1077.3200 4 269.3300 49.3680 0.0000 2.5787
Within Groups 245.5000 45 5.4556
Total 1322.8200 49
Level of significance 0.05

----------------------

MSW=5.4556

critical range= q*sqrt [ MSW/n ]

Sample Sample Absolute Std. Error Critical
Group Mean Size Comparison Difference of Difference Range Results
1: Control 70.1 10 Group 1 to Group 2 10.8 0.738617327 2.9681 Means are different
2: 2% Glucose 59.3 10 Group 1 to Group 3 11.9 0.738617327 2.9681 Means are different
3: 2% Fructose 58.2 10 Group 1 to Group 4 12.1 0.738617327 2.9681 Means are different
4: 1% Sucrose and 1% Fructose 58 10 Group 1 to Group 5 6 0.738617327 2.9681 Means are different
5: 2% Sucrose 64.1 10 Group 2 to Group 3 1.1 0.738617327 2.9681 Means are not different
Group 2 to Group 4 1.3 0.738617327 2.9681 Means are not different
Other Data Group 2 to Group 5 4.8 0.738617327 2.9681 Means are different
Level of significance 0.05 Group 3 to Group 4 0.2 0.738617327 2.9681 Means are not different
Numerator d.f. 5 Group 3 to Group 5 5.9 0.738617327 2.9681 Means are different
Denominator d.f. 45 Group 4 to Group 5 6.1 0.738617327 2.9681 Means are different
MSW 5.455556
Q Statistic 4.0184

-------------------------------------------------------------------------------------------------------------------------------

Mean Pairs
Control vs 2% Glucose Means are different
Control vs 2% Fructose Means are different
Control vs 1% sucrose + 1% Fructose Means are different
Control vs 2% sucrose Means are different
2% Glucose vs 2% Fructose Means are not different
2% Glucose vs 1% Sucrose + 1% Fructose Means are not different
2% glucose vs 2% sucrose Means are different
2% fructose vs 1% sucrose +1% fructose Means are not different
2% fructose vs 2%sucrose Means are different
1% sucrose +1% fructose vs 2% sucrose Means are different
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