CRIM 320 Lecture Notes - Lecture 3: Confidence Interval, Frequency Distribution, Type I And Type Ii Errors

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A large number of samples would produce a distribution for the statistic. Standard deviation - measures the variability of a statistic. Standard error - standard deviation of the sampling distribution. Frequency distribution - summary depiction of how many times a particular value of variable occurs. Sampling distribution - a hypothetical distribution of all possible sample outcomes for a statistic. It"s the bridge between the sample and the population. Repeat coin flip experiment many times [eg. histogram in class] The normal distribution is a curve defined by a mathematical formula [bell curve] Characteristics make it useful in application to research situations. Many statistics have a sampling distribution that is approximately normal. This is the wonder of the central limits theorem (clt) On average, the sample mean is the same as the population mean. The sampling distribution of a statistic is normal. These last two characteristics make inferential statistics possible.

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