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Tentative statement about how 2 variables are associated in larger populations. |
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no comparison or relationship between variables. Any difference in sample is random error |
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inferential statistic used to determine whether the mean for two groups of scores differs statistically and can be applied to entire population |
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IV: Categorical (2 variables) DV: Quantitative |
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T-Test steps of hypothesis |
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1. formulate H1 2. Formulate H0 3. Select stat sig difference (p<0.05) 4. select correct test 5. Test stats for significance 6. make decision based on stats if stat sig and on HO & H1 |
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Statistically Significant |
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Probability, the smaller the p, the more confident we are of legit difference |
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Significance level is same as |
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Two tailed or P value must be below 0.05. Reject H1 if greater than 0.05. not statistically significant. How certain we are no relationship exists. |
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Degrees of freedom (df): N is considered T: Farther from zero = stronger P: lower than 0.05 |
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Describes size of a difference of an association in STANDARDIZED unit. (magnitude of difference) COHNAN'S D. |
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Effect size measures for T-Test: |
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D = 0.20 (.15-.39) SMALL EFFECT D = 0.50 (.4-0.74) MEDIUM EFFECT D = 0.80 (.75-1.09) LARGE EFFECT |
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Tells the magnitude of difference between two variables. If measures 0.05 very small or negligible effect. |
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P (stat. sig) is tied to.. |
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analysis used to measure strength of association between two quantitative variables. X scores tell us something about Y scores to help predictions |
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Chi Squared (x2) variables |
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ID: Categorical DV: Categorical |
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R (Pearson's Correlation) variables |
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ID: Quantitative DV: Quantitative |
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Graphical depiction of a correlation Y axis: DV (Vertical) X axis: ID (horizontal) |
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4 relationships of scatter plots |
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1. No relation 2. Positive linear relation 3. Negative (Inverse) Relation 4. Curvilinear (non-linear) |
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Knowing peoples level of variable X tells us NOTHING about variable y. Straight line. No shared Variance |
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Positive linear relationship |
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as X increases, so does y. As X decreases, so does Y. The steeper the slope line, stronger the relationship |
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Negative (Inverse) relationship |
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Scores move opposite of eachother, as X increases Y decrease, as Y increases X decreases. |
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relationship between X and Y is curved or it changes over time. Such as texting and driving (fear appeal works for certain amount of time until people ignore it) |
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Sad dog commercial, worrying too much about grades makes 2nd guess and change. |
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provides numerical estimate of direct and strength of the linear relationship between two variables |
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Pearson correlation (r) must be what two things?? |
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Presumes relationship is linear Possible range (-1.00-+1.00): closer to 1 is a stronger relationship |
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sign of the correlation (+/-) depicts the direction of the relationship between X and Y |
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Strength/what related to. |
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size of correlation depicts the strength of relationship between X & Y AND related to effect size. |
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tells there is no relationship between X and Y -complete overlap means will fall everytime! |
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"Rule of thumb" for interpreting r |
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(Strength of relationship) r = 0.1 SMALL r = 0.24 MEDIUM r = 0.37 LARGE |
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Which is stronger? r = 0.25 or r = -0.47 |
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Coefficient of determination is called what in SPSS? |
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Effect size for correlation (Coefficient of determination) |
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must square the r (r2) % of variance in variable X that is shared by Y value. r2=0.06 means 6% of X is shared by Y. |
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exact percent of variance two scores share or the percent they move together |
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CORRELATION DOESN'T EQUAL CAUSE. why? |
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just because there is a correlation between X and Y, by itself, doesn't show that X is the cause of Y |
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3 correlation doesnt equal cause reasons |
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Co variation- are X and Y related? Is there a relationship? Time order- Does X come before Y in time Alternative explanations- Is anything besides X causing Y? |
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Values needed in Correlation determination |
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r: Strength of relationshpi r2: percent related X to Y N: sample size Sig fig: probability |
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inferential statistics used to address hypotheses nominal variables |
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IV: Nominal (2 categories) DV: Nominal (2 categories) |
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Statistical significance for chi square |
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compares what we observe/actually see vs what we expect by chance/average to see |
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Degrees of freedom for chi test |
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Found on SPSS output (Rows-1)(Columns-1) |
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Effect size measurement for chi test |
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Effect size for all three tests |
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Correlation: r2 Chi: Cramers T-test: Cohens |
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takes on value from 0 to 1 0= one variable has no impact on other 1= one variable totally determines the other |
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Rule values for Cramer's V |
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0.10= SMALL EFFECT 0.24= MODERATE/MEDIUM EFFECT 0.37= LARGE EFFECT |
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