Week 6 classnotes Hypothesis testing_inference_rev 2_28_09

# Week 6 classnotes Hypothesis testing_inference_rev 2_28_09...

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1 SAN JOSÉ STATE UNIVERSITY College of Social Work S. W. 242 Spring 2008 Edward Cohen Week 6: Hypothesis Testing continued; Chi Square Test of Association Concepts you should know: Statistical inference Theoretical sampling distribution Null hypothesis Research, or alternative, hypothesis One-tailed vs. two-tailed hypotheses Type I and Type II errors Statistical significance Critical region Alpha level p value Parametric statistics Non-parametric statistics Binomial distribution Chi-squared test of association Expected frequencies Observed frequencies Degrees of freedom I. The Logic of Statistical Inference--Testing Hypotheses A. Confirming your research hypothesis (relationship between 2 variables) is dependent on ruling out 1. Rival hypotheses 2. Research design problems (e.g. measurement error, non-representative sample), and/or 3. Chance— sampling error --the natural tendency of any sample to differ from the population from which it was drawn. This one is what statistical inference deals with. B. Statistical Inference--The use of theoretical sampling distributions to test hypotheses 1. Theoretical sampling distribution: the normal curve showing all possible sample statistics produced from an infinite number of randomly drawn samples 2. Theoretical sampling is based on the premise that no relationship exists between the two variables (e.g. that the statistical outcome is only obtained by chance)

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2 3. Statistical inference tests the null hypothesis --a statement that there is no relationship between two variables of interest. Another way of saying it: Any relationship between these variables is only due to chance , not a real relationship that exists in the population 4. The research hypothesis , or alternative hypothesis, states that there is a relationship between the variables a) Hypotheses: one-tailed or two-tailed? b)
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## This note was uploaded on 09/08/2010 for the course SCWK 298 at San Jose State University .

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Week 6 classnotes Hypothesis testing_inference_rev 2_28_09...

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