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Agenda Review Homework 5 Review Statistical Control Do Homework 6 (In-class group style)
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HW#5 Part I Do not calculate b/c not significant p>alpha ▫If not significant, cannot examine association Test stats tell us how different our findings are from the “no relationship” null. ▫Therefore, higher test stats mean stronger relationships
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HW#5 Part II Advantage of V = bounded for all cell sizes, (0-1) which is not true for phi if greater than 2x2 table Lambda is a PRE measure that tells you the exact % reduction in error predicting the DV that you get by knowing the IV. Phi or V just tell you relative strength on some scale (V = 0-1)
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HW#5 Part II Cont PEOPLE HELPFUL OR LOOKING OUT FOR SELVES * RS HIGHEST DEGREE Crosstabulation RS HIGHEST DEGREE Total LT HIGH SCHOOL HIGH SCHOOL JUNIOR COLLEGEBACHELORGRAD People Are… HELPFUL9739283187108867 LOOKOUT FOR SELF 1804838112951924 DEPENDS2998163318194 Total3069731803491771985 Chi-Square Tests Valuedf Asymp. Sig. (2-sided) Pearson Chi-Square64.047 a 8.000 a. 0 cells (.0%) have expected count less than 5. The minimum expected count is 17.30.
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Part II, #4 CONFIDENCE IN MAJOR COMPANIES * SATISFACTION WITH FINANCIAL SITUATION Crosstabulation SATISFACTION WITH FINANCIAL SITUATION Total SATMORE/LESSNOT CONFA GREAT DEALCount11814174333 % within SATISFACTION WITH FINANCIAL SITUATION 19.9%16.9%14.6%17.2% ONLY SOMECount3835252951203 % within SATISFACTION WITH FINANCIAL SITUATION 64.6%63.0%58.3%62.3% HARDLY ANYCount92167137396 % within SATISFACTION WITH FINANCIAL SITUATION 15.5%20.0%27.1%20.5% TotalCount5938335061932 % within SATISFACTION WITH FINANCIAL SITUATION 100.0%
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HW#5, Part III Regression line ▫Vertical distances (deviations) of scatter from line are at minimum and add to zero ▫Passes through (mean x, mean y) ▫Indicates direction/strength of relationship between 2 IR variables ▫Used to predict scores of Y by knowing value of X. r bounded (-1 to +1) and slope is not (influenced by how variables are measured) scatter plot – inverse relationship
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Part IIICont. Strength ▫r =.133 (weak, positive relationship) ▫r 2 =.018 Age explains about 2% of the variation in the number of hours people watch TV (very weak).
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3 CRITERIA OF CAUSALITY When the goal is to explain whether X causes Y the following 3 conditions must be met: ▫Association X & Y vary together ▫Direction of influence X caused Y and not vice versa ▫Elimination of plausible rival explanations Evidence that variables other than X did not cause the observed change in Y Synonymous with “CONTROL”
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CONTROL VIA EXPERIMENT ▫BASIC FEATURES OF THE EXPERIMENTAL DESIGN: 1.Subjects are assigned to one or the other group randomly 2.A manipulated independent variable (Some offenders get real rehabilitation program, others get “motivational speaker”) 3.A measured dependent variable (Arrest in 2 years after treatment) 4.Except for the experimental manipulation, the groups are treated exactly alike, to avoid introducing extraneous variables and their effects.
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Statistical Control ▫Process of introducing control variables into a bivariate relationship in order to better understand the relationship ▫Control variable – a variable that is held constant in an attempt to understand better the relationship between 2 other variables ▫Zero order relationship in the elaboration model, the original relationship between 2 nominal or ordinal variables, before the introduction of a third (control) variable ▫Partial relationships the relationships found in the partial tables
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3 Potential Relationships between x, y & z 1. Spuriousness A relationship between X & Y is SPURIOUS when it is due to the influence of an extraneous variable (Z) 2. Intervening variables Clarifying the process through which the original bivariate relationship functions A variable that is influenced by an independent variable, and that in turn influences a dependent variable 3. Moderating or “interaction” effects Occurs when the association between the IV and DV varies across categories of the control variable One partial relationship can be stronger, the other weaker. AND/OR, One partial relationship can be positive, the other negative
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Using Statistical Controls Nominal-Ordinal level data ▫Elaboration of bivariate tables ▫In SPSS, add the “control” variable in the “layer” box Interval-Ratio data ▫Elaboration of correlations (partial correlations) ▫In SPSS, select “partial correlations”
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SPSS DEMO – Table Elaboration Initial hypothesis = political view is related to whether people report having a gun in the home ▫Polyview = ordinal ▫Owngun = nominal (yes/no) ▫Test statistic? ▫Measure of strength? What happens when we “control” for gender? ▫Sex as “layer” ▫Look at chi-squared, and measures of association (if appropriate) for each sex seperately
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SPSS DEMO Partial Correlations Using survey of Adderall use in UMD students ▫Do delinquent peer associations predict crime in the past year? Could “low self control” be the reason these things are related (spuriousness)? Initial look at bivariate (zero order) “r” ▫Partial “r” after controlling for self-control
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Final Homework IN CLASS EITHER TYPE ANSWERS AT LAB AND EMAIL TO ME OR WRITE NEATLY DUE BY START OF CLASS THURSDAY
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