1. perform Levene’s test for equal variance. Note, this is a one‐way ANOVA testing for the equality...

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Statistics

1.

perform Levene’s test for equal variance. Note, this is aone‐way ANOVA testing for the equality of 16 variances (eachcombination of promotion/discount). 0.1 signigicance

2. perform 2-way anova with replication

To answer these questions, an experiment was designedusing laundry detergent pods. For ten weeks, 160 subjects receivedinformation about the products. The factors under considerationwere the number of promotions (1, 3, 5, or 7) that were describedduring this ten‐ week period and the percent that the product wasdiscounted (10%, 20%, 30%, or 40%) off the average non‐promotionalprice. Ten individuals were randomly assigned to each of thesixteen combinations. The data reflecting what the sub‐ jects wouldexpect to pay for the product (i.e., their reference price) at theend of the 10‐week period. 0.1 significance

Percent

N u m b e r   o f   P r om o t i o n s

Discount

Number=1

Number=3

Number=5

Number=7

Discount=10

11.36

11.33

11.15

10.82

11.76

11.39

11.44

11.17

11.73

11.51

11.08

11.31

11.68

11.49

11.35

11.17

11.82

11.83

11.20

11.37

11.95

11.59

11.67

10.87

11.68

11.43

11.40

10.98

11.43

11.73

11.41

10.95

11.57

11.86

11.32

11.05

11.85

11.28

11.16

10.71

Discount=20

10.83

11.46

11.16

10.71

11.03

11.20

11.03

11.32

11.16

11.46

11.12

10.61

11.75

11.14

11.36

10.93

11.26

11.61

11.36

11.00

11.92

11.25

11.07

11.06

11.74

11.27

11.23

11.16

11.90

11.48

10.93

11.34

11.57

10.96

11.31

10.78

11.69

11.74

10.93

11.29

Discount=30

12.20

12.14

11.37

11.15

11.85

12.06

11.61

11.71

11.84

11.72

11.43

11.06

11.74

11.99

11.37

11.41

11.81

11.22

11.28

11.67

11.79

11.68

11.67

11.01

11.85

11.56

11.74

11.24

11.92

11.94

11.02

11.33

11.99

11.71

11.92

11.47

12.50

11.82

11.70

11.49

Discount=40

12.45

12.16

11.57

11.30

12.14

12.41

11.62

11.48

12.04

11.94

12.01

11.65

12.15

12.24

11.88

11.15

11.95

11.92

11.00

11.52

12.22

11.72

11.60

11.67

12.26

11.96

11.78

11.65

12.19

11.63

11.63

11.78

12.36

11.95

11.66

11.13

12.04

12.23

11.78

11.96

Answer & Explanation Solved by verified expert
3.5 Ratings (450 Votes)
1The Levenes Test for Equality of Variances for each combinationof promotion and discount is performed in excel by following thesestepsStep 1 Write down the data values for each 16 group Thescreenshot is shown belowStep 2 Calculate the standard deviation for each group usingthe excel function STEDEV Now the variance is obtained bytaking square of standard deviationStep 3 The null and alternative hypothesis areStep 4 The Fvalue is obtained using the formulaand the corresponding Pvalue is obtained using the excelfunction FDISTxdegfreedom1degfreedom2TRUEStep 5 The significance level is 001 such that the nullhypothesis is rejected ifPvalue 001CombinationGroup 1Group    See Answer
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