PSYC 2002 Lecture Notes - Lecture 4: Central Limit Theorem, Statistical Hypothesis Testing, Sampling Error
2 Feb 2016
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Probability: sampling & inference making, probability & normal distribution. Central limit theorem & distribution of means. Central limit theorem: mathematical statement about characteristics of distribution of sample means. Sampling distribution of means: distribution of means obtained by selecting all possible (random) samples of specific size from population (this is a theoretical distribution) & plotting frequency of these means. Theoretical distribution of sample means can be used to assigned probabilities to likelihood of obtaining samples that vary from population mean. Obtaining sample means: population ( , ) (individual scores) (*graphs in lecture slide*) Distribution of a set of sample means: *graphs in lecture slide* Sampling distribution of means: repeated sampling: distribution approaches normal curve, distribution of means = less variable than distribution of individual scores. 1- distribution approaches normal curve w/ repeated sampling: for any population w/ mean ( ) & standard deviation ( ): Distribution of sample means for sample size n will approach normal distribution w/:
