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29 Cards in this Set
- Front
- Back
central tendency
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most scores tend to fall at the center of a distribution
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characteristics of a good measure of central tendency
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- similar to a lot of scores
- near the middle of the range - should represent each score equally |
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mode (unimodal, multimodal)
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most frequent score
- useful is Dv is nominal - uni=1 multi=more than one |
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median
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- geometric center
- splits distribution in half - for odd # of scores= (n+1)/2=location of median - for even # of scores= (n+2)/2=location of median |
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mean
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- average of all scores in a distribution
Ex/n - best measure of central tendency - mean takes into account each individual score - mean is mathematical center of a set of data |
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sample mean
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- best estimate of population mean
- positive deviations from the mean cancel negative deviations from the mean |
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mean centering
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- subtracting the mean from each score
E(x-mean)= 0 |
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unskewed (normal) distribution
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- parabola
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skewed
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- if you skew a distribution, you have one prominent tail
- skewed- hump in one direction, tail in another |
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positively skewed distribution
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- mean>median>mode
- hump on left side, tail on right |
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negatively skewed distribution
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- mean<median<mode
- hump on right, tail on left |
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2 main points of statistics
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- central tendency
- variability- measures the spread of a distribution |
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4 main measures of variability
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- range
- sum of squares - standard deviation - variance |
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range
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highest - lowest
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sum of squares
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- measures total variance; sum of square deviations from the mean
SS= E(x-mean)^2 |
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standard deviation
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- measures average diff bw any score and the mean; square root of variance
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variance
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- measures average variability; average of sum of squared deviations from mean
S^2= SS/n |
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z score
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distance bw a raw score and the mean, in standard deviation
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positive z scores
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tell u the raw score is above the mean
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negative z scores
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tell u the raw score is below the mean
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z score of 0
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tells u the raw score is the mean
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sampling error
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diff bw population mean and sample mean
- sample mean is the best unbiased estimate of the population mean bc it is never consistenly greater than or less than the population mean - sampling error is not bad, it is expected to happen |
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degrees of freedom
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the number of scores that can vary randomly in a sample
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sampling distribution
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a collection of a statistic taken from all samples in a population of size n
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sampling distribution of the mean
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a collection of all sample means of a certain sample size taken from a population
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central limit theorem
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as n --> inifinity (or N), the sampling distribution of the mean approximates a normal distribution
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characteristics of the sampling distribution of the mean
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- mean is equal to population mean
- standard deviation is the standard error of the estimate |
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confidence interval
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- a range around the sample mean where we are pretty sure a population mean lies
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standard error of the mean
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measures the average deviation of the population mean and a sample size n
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