cas 301 chapter 12
Restriction of Range?
-A problem when scores on a variable are limited to a small subset of their possible values -if you have a limited range, you will not get a very large correlation or it might look like they are not related when they are
Curvilinear Relationship?
-Pearson r is designed to detect only linear relationship -If curvilinear, can appear that there is no association even when there is -Scatterplot will help to visualize -other type of correlation can be used to determine the strength
Measures of variability?
-The spread/dispersion of scores about the mean -Interval or ratio scores only -Standard Deviation -Range
Correlations (Pearson r)- What they are?
-describe the strength and direction of the relationship between 2 variables (you can use 1 to predict the other) -association between 2 variables -usually interested in a predictor variable and a criterion (outcome)
sensitivity?
-high ability to detect difference -Is there variability? To show individual difference.... When variability is low there is a restriction of range... Bad for correlations (won't find association) -ceiling and floor effect
Two ways we need/use statistics?
1. Descriptive statistics= To describe the sample data 2. Inferential statistics= To make inferences and draw conclusions about a population based on sample data
correlations-Important considerations?
1. Restriction of Range 2. Curvilinear Relationship 3. Sensitivity
the normal curve?
50% fall above average and 50% fall below average- perfectly symmetrically
Mediating variables (and how they differ from confounding variables)?
A variable that helps explain the relationship between 2 other variables ( a mechanism) What comes between/explains A leads to B, leads to C
Statistical control?
A way of taking into account or "controlling" for, third variables (potential confounds) -researchers need to measure the variables -use statistics to remove its contribution/effects
Frequency distributions (know different types and how to read them)?
Bar graph, pie chart, histogram, frequency polygon
correlations-Direction and strength?
Direction= positive or negative Strength= how large is the absolute value of the number
Basics of structural equation modeling, SEM (what it is)?
Expected pattern of relationships among a set of variables
correlations- What types of variables/scales can be used?
Interval or ratio; ranges from -1 to 0 to 1
multiple regression?
MR= unique association between multiple predictors and a single criterion variable (shared variance is removed)
Measures of central tendency?
Mean (average) Median (middlemost score) Mode (most frequent score)
Basic measurement scales?
Nominal, ordinal, interval ,ratio
Regression equation?
RE= allows prediction of one behavior/score (criterion) when the score on the other (predictor) variable is known. Ex: Predicting the score on Exam 3 (criterion-Y) from the number house spent studying (predictor-X)
Standard Deviation?
The average deviation from the mean Most common used variability SD score large= when most ppl have scores far away from mean SD score small= when most ppl have scores close to the mean
range?
The difference between the highest and lowest score in a distribution
Partial correlation?
The part of the whole correlation that doesn't include the 3rd variable Provides a way of statistically controlling 3rd variables. Removes any overlap (possible contribution of 3rd variables)