SPSS: Factorial Analysis of the Given Data Set

Solution Preview

Please find the solution of your posting.

Introduction
We want to check how the age and different levels of music affects the musical tastes or liking to the music. For this we have two categories of age that is less than 40 years and more than 40 years and three categories of different music that are Fugazi, Abba and Barf Grooks. Basically we want to check whether these variables affect the liking of music and if yes then how they are going to affect the liking of music.
Three Hypotheses can be tested simultaneously with two way analysis of variance.
Statistical Assumption of the test:
1. The data should be collected by random sampling.
2. The sample should be independent from each other.
3. The data should be continuous or we can say that the data should be either interval level or ratio level for t test.

Using the data set you have selected, select independent and dependent variables.
Here we have
Independent Variables: Age, Music
Dependent Variable: Liking

Develop the null and the alternative hypotheses.
First hypothesis:
Null Hypothesis (Ho1): All the age groups have equal music liking on the average or we can say that there is no significant difference in liking music due to age factor.
Alternative Hypothesis (Ha1): All the age groups are not equal music liking on the average or we can say that there is a significant difference in liking music due to age factor.
Mathematically;
Null Hypothesis (Ho1): µ1 = µ2
Alternative Hypothesis (Ha1): µ1 ≠ µ2
Where µ1 = Mean of the liking music for first category of age of less than 40 years.
µ2 = Mean of the liking music for second category of age of more than 40 years.
Second hypothesis:
Null Hypothesis (Ho2): All the music groups have equal music liking on the average or we can say that there is no significant difference in liking music due to music ...