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Something that when measured, has no fixed value. |
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Method where the degree of relationship between at least 2 variables is assessed. |
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Research method that allows a researcher to establish a cause and effect relationship through manipulation of a variable and control of the situation. |
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Variable manipulated by researcher. Cause. |
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Variable measured by researcher. Effect. |
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Definition of a variable in terms of the operations a researcher uses to measure or manipulate it. |
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Stats used to describe/summarize characteristics of a set of scores. |
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Procedures for drawing conclusions about a population based on data collected from a sample. |
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Nominal Ordinal Interval Ratio |
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Measure of variables that are categorical in nature. Using #'s as arbitrary labels. Ex: 1 = male, 2 = female. |
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Measuring a quantity in rank order |
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Measured on a scale with equally sized intervals. No true zero point |
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Height, weight, length, time, income. True zero point |
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Exist in "whole units" Ex: Family size income, gender. Numbers must eventually stop. |
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Exist theoretically. Age, time, height, weight. |
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Variable for which the scores represent a change in quantity. Histograms |
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categorical variable for which each value represents a category. Bar graph |
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Symmetrical Distributions |
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All normal distributions are symmetrical, but not all symmetrical distributions are normal. |
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Theoretical frequency distributions with the following characteristics: Unimodal, symmetrical, identical values for mean, median mode, bell shaped. Normal distributions are the normal curve |
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Positive and negative. Distribution is not symmetrical. |
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Degree of peakedness vs. flatness |
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Peaked, taller then normal |
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Flatter, more spread out. |
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Measures of central tendency |
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Descriptive statistics that summarize a set of scores by determining where the center of a distribution is. Mean, Median, Mode |
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Descriptive statistics indicating the extend to which the scores in a distribution tend to differ. Measures of "spread" |
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Systematically underestimate the true value of population variance. Misses tend to be in one direction. (Dart board) |
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Defines range of values between the 25th and 75th percentile. |
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Distance each score is from the mean of the set of scores |
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5 number graphical displays. MIN 25th Median 75th Max |
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tables where all of the scores are listed along with the frequency with which each occurs |
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Table where scores are grouped into intervals and listed along with the frequency. |
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The score at which a given % of the scores in a distribution fall at or are below. Ex: Median is 50% percentile, so 50% of scores are at or below it. |
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Score that indicates the percentage of people who scored at or below a given raw score |
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scores pile up near low end of distribution resulting in a positive skew. |
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scores pile up near high end of distribution resulting in a negative skew. |
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Theoretical distributions that give, over all possible samples of size N. In a normal distribution, x bar where the deviations are |
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Standard error of the mean |
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The average amount that the sample means deviate from the population mean. Give indication of accuracy of a sample mean |
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Estimated standard error of the mean |
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Estimate of the standard deviation of the sampling distribution |
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The "other two" possibilities combine to be the null |
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The researcher's hypothesis |
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Critical values for z test |
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One or two tail. One tail is where direction is predicted and 2 tail is where no direction is predicted. One tail is more powerful. |
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Characteristics of a t distribution |
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When N is small and mean? Is unknown, the sampling distribution of the mean is symmetrical, but wider than normal. Population variance is not known. (single sample) T distribution is a family of curves that differ for each N. |
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Independent samples t test |
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Used for comparing samples means from 2 independent groups of scores. Ex: 10 people in 2 groups. One get placebo, one get drug. |
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Related (Dependent) samples t test |
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Used to compare the means of two related samples of scores. Ex: 10 people in 2 groups. People get both the drug AND the placebo |
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How to determine critical values for t test |
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Post hoc test procedure when F is significant. HSD= Indicates how much 2 means need to differ from one another to be significantly different. |
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