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30 Cards in this Set
- Front
- Back
alternative hypothesis
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the hypothesis that the researcher usually wants to prove or verify; a statement about the value of a parameter that is either "less than," "greater than," or "not equal to"
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association
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values of one variable tend to occur with certain values of another variable; detected with the conditional distributions differ from the marginal distribution and from each other
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bias
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a condition where the mean of the statistic values differs from the parameter that the statistic estimates.
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bivariate data
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data collected on two variables for each individual/unit in a study
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C
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the symbol for level of confidence
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Central limit theorem
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the name of the statement telling us that the sampling distribution of x bar is approximately normal whenever the sample is large and random.
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conditional distribution
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the distribution of the values in a single row (or single column) of a two-way table
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conditions required for the sampling distribution of x-bar to be normal
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original population is normal and the sample is random
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confidence interval
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an estimate of the value of a parameter in interval form with an associated level of confidence; in other words, a list of reasonable values for the parameter based on a value of the statistic
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control chart
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a statistical tool for monitoring the input or output of a process
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control limits
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used to detect out-of-control signals in a control chart. equation is m plus or minus 3sigma over square root n. Could be 2 sigma if the question asks for it.
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correlation coefficient
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a measure of the strength of the linear relationship between to quantitative variables (r)
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decreased
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what happens to the width of a confidence interval when the sample size is increased.
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disjoint events
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events that cannot occur simultaneously
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distribution of a variable
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a list of the possible values of a variable together with the frequency of each value. Probabilities can be given instead of frequencies (because this is before the data has been collected)
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event
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a single outcome or a combination of outcomes from a random phenomenon
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extrapolation
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predicting a y value using a value of x that is outside the range of x values used to obtain the regression equation. this prediction could be very far off.
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garbage
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results from a statistical analysis performed on non-random samples
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increased
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what happens to the width of a confidence interval when the level of confidence is increased.
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inference
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using results from a sample statistic value to draw conclusions about the population parameter
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influential observation
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an observation that substantially alters the values of slope and y-intercept in the regression equation when it is included in the computations.
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law of large numbers
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the fact that the average of observed values in a sample will get closer and closer to the true mean as the sample size increases.
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law of probability
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the basis for hypothesis testing and interval estimation
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least squares
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a method for finding the equation of a line that minimizes the sum of squared residuals
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level of confidence
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the percentage of the time that the confidence interval procedure will produce confidence intervals that contain the parameter being estimated; the probability that the confidence interval to be computed (before the sample is taken and data are gathered) will contain the value of the parameter)
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lurking variable
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a variable that is not measured but explains association between two variables that are measured
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marginal distribution
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the distribution of the values in the "total" row or the "total" column of a two-way table
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margin of error
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the max. amount that a statistic value will differ from the parameter value for the middle of the distribution of all possible statistics
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mean of the sampling distribution of x-bar
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the mean of all the sample means from all possible samples of size n from a population; is equal to the true mean
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no association
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a condition where values of one variable occur independent of values of another variable; detected when the conditionals of a two-way table equal the marginal distribution (and each other)
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