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66 Cards in this Set
- Front
- Back
Sampling error
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variability due to chance
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Hypothesis testing
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a process by which decisions are made concerning the values of parameters
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Sampling distributions
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the variability of a stat over repeated sampling from a population
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Standard error
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the standard deviation of a sampling distribution
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Sampling distribution of the mean
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the distribution of sample means over repeated sampling from one population
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Sample stats
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statistics calculated from a sample and used primarily to describe a sample
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Test statistic
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the result of a test
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Decision making
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a procedure for making logical decisions based on statistical tests
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Rejection/significance level
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the probability with which we are willing the reject the null when it is correct
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Rejection region
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the set of outcomes of an experiment that will lead to the rejection of the null
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Critical value
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the value of a test stat at or beyond which we will reject the null
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Type I error
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the probability of rejecting the null when it is true
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α (alpha)
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the probability of a type I error
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Type II error
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the error of accepting the null when it is false
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β (beta)
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the probability of a type II error
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Power
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the probability of correctly rejecting a false null hypothesis
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One-tailed/directional test
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a test that rejects extreme outcomes in one specified tail of the distribution
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Two-tailed/nondirectional test
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a test that rejects extreme outcomes in either tail of the distribution
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Correlation
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relationship between variables
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Predictor variable
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the variable from which a prediction is made
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Criterion/outcome variable
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the variable to be predicted
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Covariance
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a stat representing the degree to which two variables vary together
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Deviation score
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the difference between a score and the mean
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Ranked data
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data for which the observations have been replaced by their numerical ranks from lowest to highest
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Monotonic relationship
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a relationship between variable that is continually increasing or decreasing but never both
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Range restrictions
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cases in which the range over X or Y varies is artificially limited for the purpose of reducing r
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Heterogeneous subsamples
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data in which the observations could be divided into two distinct sets on the basis of some other variable
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Population correlation coefficient
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rho (ρ)
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Intercorrelation matrix
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a table showing the pair wise correlations between variables
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Dichotomous variables
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variables that can only have two possible values
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Slope
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the amount of change in Y for a one-unit change in X
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Intercept
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the value of Y when X is 0
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Errors of prediction
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the difference between Y and Y-hat
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Residual
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the difference between actual and predicted values of Y
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Least squares regression
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refers to the fact that our calculation of the line is based on minimizing the squared differences between the actual and predicted values
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Standard error of the estimate
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the average of the squared deviations about the regression line
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Residual variance/error variance
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the square of the standard error of the estimate
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Sum of squares
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the sum of squared deviations around some point, usually a mean or a predicted value
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SSerror
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the sum of squared residuals or the sum of the squared deviations within each group
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SSy
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the sum of squared deviations about the mean
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SStotal
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the sum of squared deviations from the grand mean (mean of all observations)
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Multiple correlation coefficient
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R, the correlation between one variable and a set of predictors
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Squared correlation coefficient
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R^2, the squared coefficient between Y and a set of predictors
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Multicollinearity
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a condition in which the predictors are highly correlated amongst themselves
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Regression surface
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the equivalent to a regression line in multidimensional space
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Central limit theorem
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as N increases, the sampling distribution approaches normal
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Effect size
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the difference between two populations divided by the standard deviation of either population
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Point estimate
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the specific value taken as the estimate of the parameter
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Interval estimate
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a range of values estimated to include the parameter
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Confidence limits
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the limits at either end of an interval with a specified probability of including the parameter being estimated
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Confidence interval
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an interval with limits at either end, having a specified probability of including the parameter being estimated
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Order effect
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the effect of the order in which the trials were administered on performance
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Carry-over effect
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the effect of previous trials on performance
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Sampling distribution of differences between means
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the distribution of the differences between means over repeated sampling from the same population
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Variance sum law
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the rule giving the variance of the sum (or difference) of two or more variables
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Standard error of the differences between means
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the standard deviation of the sampling distribution of the differences between means
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Homogeneity of variance
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the situation in which two or more populations have equal variance
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Pooled variance
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a weighted average of separate sample variances
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Heterogeneity of variance
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a situation in which samples are drawn from populations having different variances
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Power
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the probability of correctly rejecting a false null, 1-β
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Harmonic mean
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the number of elements to be averaged divided by the sum of the reciprocals of the elements
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Dichotomous variables
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variables that can only have two different values
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Goodness-of-fit test
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a test for comparing frequencies with theoretically predicted frequencies
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Expected frequencies
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the expected value for the number of observations in a cell if the null is true
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Multicategory case
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a situation in which data can be sorted into more than two categories
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Contingency table
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a two-dimensional table in which each observation is classified on the basis of two variables simultaneously
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