Sample Size Example

Sample Size Example Sample Size – Coursework Example Application of ANOVA in analysis of the impact of crisis intervention on psychiatric hospitalizations Psychiatric hospitalization Analysis of variance (ANOVA) is a commonly used approach in testing of the equality of various means using variance (Derrick, 2008). This analysis of often based on a number of assumptions including: independence of the samples, equal variance in populations and that the populations from which the sample is extracted has a normal or near normal distribution (Derrick, 2008). This paper will apply ANOVA analysis in development of statistical assumptions defining the situation of the impact of crisis intervention on psychiatric hospitalizations. The paper will compare cases of psychiatric hospitalization before, during and after implementation of crisis intervention. In essence, the paper will seek to establish whether the means of the groups are equal and determine if there are any significant differences. The null hypothesis will be evaluated using one way ANOVA and assumes that the mean of two or more populations are equal (Stuttgart, 2007). It will questions whether (H0) the population means for all groups bear equality and whether the differences observed are a result of variations from random sampling (Brian, 2009). The data set to be used in this study is based on two groups. One groups is subjected to crisis intervention, the other group is will not be subjected to crisis intervention. The data will be collected for both groups before implementation of the crisis intervention, during implementation and after implementation. Mathematically, the expressions are expressed as follows:The study will adopt stratified systematic sampling whereby specific populations will be targeted for research. Sample consisting of 60 psychiatric patients will be considered whereby 30 will be subjected to a crisis intervention program while the other part of the targeted population will not be subjected to the crisis intervention program. Data on ho spitalization of both groups will be recorded before, during, and after implementation of the crisis intervention program. ReferencesBrian, S. (2009). Introduction to Statistics. London: McGraw HillDerrick, A. (2008). Research methods applicable to quantitative analysis of data (2th ed.). Worth publishers: New York. Green, S.B. & Salkind, N.J. (2008) Using SPSS for Windows and Macintosh: Analyzing and Understanding Data (5th ed.) Pearson Prentice Hall: New Jersey. Stuttgart, W. (2007). ANOVA application to case analysis.Journal of Statistics 14(2), pp. 123-126.