Question

AaBbCcDdE AaBbeAaBbCcDd AaBbCcDd No Spacing Heading 1 Heading 2 In this assignment you will conduct a one-way and factorial ANVOA and interpret the results. You will presented with 2 studies In the first you will (1) state populations and hypotheses; (2) conduct a One-way ANOVA using SPSS; (3) report the results using proper APA format; (4) if there was a significant result, conduct post-hoc tests; (5) describe the results to this study; (6) describe the implications of this study; (7) determine the strengths and weaknesses of the ANOVA. In the second you will (1) state populations and hypotheses; (2) conduct a Factorial ANOVA in SPSS, (3) report all results using proper APA format; (4) indicate if there was an interaction or not using proper APA format; (5) if there was a significant result, conduct post-hoc tests; (6) describe the results to this study; (7) describe the implications of this study; describe any strengths and weaknesses of this ANOVA. Finally, be sure to include any SPSS outputs as well. A researcher is interested in whether technology has changed people's preferences in leisurely activities based on their age range. She chooses the concept of using eBooks as a replacement for physical books. She gathers a group of 10 individuals in each of the following age groups: 10-year-olds, 30-year-olds, 50-year-olds, and 70-year-olds. For each group she has them rate on a scale of 1-10 how much they prefer an eBook compared to a physical book. The data for this study is presented below: 10-year-olds 30-year-olds 50-year-olds 70-year-olds 10 6 9 4 10 10

Answer 1

1) There are four Populations in this problem they are a)all 10 year old ii) all 30 year old iii) all 50 year old iv) all 70 year old

Hypothesis

H₀: $\mu _{1}=\mu _{2}=\mu _{3}=\mu _{4}$

H₁ : Atleast one mean is different.

One-way ANOVA: 10 year-olds, 30 year-olds, 50year-olds, 70year-olds

Method

Null hypothesis	All means are equal
Alternative hypothesis	Not all means are equal
Significance level	α = 0.05

Equal variances were assumed for the analysis.

Factor Information

Factor	Levels	Values
Factor	4	10 year-olds, 30 year-olds, 50year-olds, 70year-olds

Analysis of Variance

Source	DF	Adj SS	Adj MS	F-Value	P-Value
Factor	3	61.00	20.333	5.60	0.003
Error	36	130.60	3.628
Total	39	191.60

since p-value is less than 0.05 we can conclude that there is a significant difference exists between the means of the population.

Tukey Pairwise Comparisons

Grouping Information Using the Tukey Method and 95% Confidence

Factor	N	Mean	Grouping
10 year-olds	10	7.800	A
30 year-olds	10	6.500	A	B
50year-olds	10	5.700	A	B
70year-olds	10	4.400		B

Means that do not share a letter are significantly different.

Tukey Simultaneous 95% CIs

2)

Hypothesis:

for factor A

H₀: all the music types are equal

H₁ : Atleast one music is different.

For factor B

H₀: all the genders have equal interest in music

H₁ : Genders have not equal interest in music

General Linear Model: Response versus Music type, Gender

Method

Factor coding

(-1, 0, +1)

Factor Information

Factor	Type	Levels	Values
Music type	Fixed	4	1, 2, 3, 4
Gender	Fixed	2	1, 2

Analysis of Variance

Source	DF	Adj SS	Adj MS	F-Value	P-Value
Music type	3	64.20	21.400	11.43	0.000
Gender	1	33.80	33.800	18.05	0.000
Music type*Gender	3	23.40	7.800	4.17	0.009
Error	72	134.80	1.872
Total	79	256.20