BasicANOVA Study Description

BasicANOVA Study Description

Analysisof variance abbreviated is a statistical process that tests theextent to which group means vary in an experiment (Kothari,2004).In various experiments that concern variance, there is an indicationof a significant result in the research.

Inthis case, religion would be used as a case study where the researchquestion states

Isthere a relationship between the religion (Jewish, Catholics andProtestant) of the people and what they consider the perfect familysize to be? The question is suitable for the statistical test becauseit covers more than two groups of religion (Kothari,2004).For this case, 10 Jewish 10 Catholics and 10 Protestants arerecruited where they will be asked what they consider an ideal familysize as stated by their religion. The independent variable isreligion, and there it is the one that allows the application ofANOVA (Kothari,2004).For instance, after asking the question, the answer from each in eachgroup is recorded, and the mean for each group calculated. Theperfect number for each family depends on the religion, and hence,the ideal number in this question is the dependent variable. An idealnumber in the household is the continuous type of variable and ratiotype since it is possible to have zero number of children (Kothari,2004).Both of the variables qualify for a statistical test because eachreligion has its preferences for the number of children it wants itsmembers to have so there a relation between the size of the familyand religion (González,Colubi & Gil, 2012).

Nullhypothesis →H_{0}:µ_{1}=µ_{2}=µ_{3} – The mean of the number of children across the three religion isstatistically equal.

Alternativehypothesis→ At least mean from one religion group is notstatistically equal.

Thereare two types possible errors in this type of analysis, and theyinclude Type I error where the null hypothesis can be incorrectlyrejected (González,Colubi & Gil, 2012).

TypeII error occurs when the null hypothesis is not true, but it isaccepted.

References

González-Rodríguez,G., Colubi, A., & Gil, M. Á. (2012). Fuzzy data treated asfunctional data: A one-way ANOVA test approach. *ComputationalStatistics & Data Analysis*,*56*(4),943-955.

Kothari,C. R. (2004). *Researchmethodology: Methods and techniques*.New Age International.