CHAPTER 11 - CHAPTER 11: STATISTICAL INFERENCE: ONE-SAMPLE...

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CHAPTER 11: STATISTICAL INFERENCE: ONE-SAMPLE CONFIDENCE INTERVAL 11.1 Introduction We need to find confidence intervals to estimate the population mean since the sample mean  can vary from sample to sample  Not used as much as null hypothesis testing even though they are more informative Null hypothesis significance tests address the question “Is chance a likely explanation for the  results that have been obtained?” The test doesn’t address the question “Are the results  important or useful?” Scientific inference – we want to know the conditional probability that the null hypothesis is true,  given that you have obtained a set of data Null hypothesis significance tests – we want to know the conditional probability of obtaining  these data or more extreme data if the null hypothesis is true 3 rd  criticism of null hypothesis testing – it is a trivial exercise; John Tukey; Bruce Thompson says  that if we fail to reject the null it is because we’ve been too lazy to get a large enough sample  4 th  criticism – by adopting a fixed significance level such as  =.05, researchers turn a α   continuum of uncertainty into a dichotomous reject-do-not-reject decision
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This note was uploaded on 04/30/2008 for the course STATS 2402-04 taught by Professor Kirk during the Spring '08 term at Baylor.

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CHAPTER 11 - CHAPTER 11: STATISTICAL INFERENCE: ONE-SAMPLE...

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