# 6_StdErrMean - 6StandardErrorofthe Mean Probability;...

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6 Standard Error of the  Mean Probability; Sampling Distribution of Mean, SEM

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Probability – Frequency View Probability is long run relative frequency Same as relative frequency in the population Dice p(1) = p(2) = …=p(6) = 1/6 Coin p(Head) = p(Tail) = .5
Frequency Distribution of the Mean What is the distribution of means if we roll dice once? What is the distribution of means if we roll dices twice and take the average? Three times? (See Excel File ‘dice’)

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Dice 1 Die Ave of 2 Dice Ave of 3 Dice M = 3.5 SD = .99 M = 3.5 SD = 1.87 M = 3.5 SD = 1.23 Notice the mean, standard deviation, and shape of the distributions. Raw Data Sampling Distributions of Means
Sampling Distribution Notion of trials, experiments, replications Coin toss example (5 flips, # heads) Repeated estimation of the mean Sampling distribution is a distribution of a statistic (not raw data) over all possible samples. Same as distribution over infinite number of trials. Recall dice example.

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## This note was uploaded on 05/21/2011 for the course PSY 3204 taught by Professor Brannick during the Spring '10 term at University of South Florida - Tampa.

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6_StdErrMean - 6StandardErrorofthe Mean Probability;...

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