Text Concepts
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Text Concepts (continued)
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Parameter versus Statistic
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Properties of the t distribution
degrees of freedom
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Population versus Sample
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3 Questions of statistics
Is there a relationship?
Magnitude of the relationship (effect size)
Nature (shape) of the relationship
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Descriptive versus Inferential Statistic
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Quantitative versus Qualitative data sample as interval
versus nominal levels of measurement
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Pearson product moment correlation - properties of the
measure and when to use it (level of measurement)
Testing r for significance
Other measures of r (Spearman, Point biserial, Phi)
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Levels of Measurement
Nominal,Ordinal,Interval,Ratio
and binary or nominal / dichotomous
Discrete versus Continuous variables |
Regression
Scatterplots
Equation y' = bx + a
Interpretation of slope and intercept
Properties of predicted and residual values (y' and
y-y')
Variance partitioning, r2, and proportional reduction in
error
Regression towards the mean
Standard error of estimate
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Z transformations
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Sampling Error
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Frequency Distribution
Histograms
Box plots - know what info they convey
Stem and Leaf plot - why use? |
Measures of Central Tendency
Mean, Median Mode
Relationship to levels of measurement
Effect of Outliers on these
Effects of shape of distribution |
Measures of Variability
Sum of Squares, Variance, St. deviation,
Range
Interquartile range
Relationship to levels of measurement
Effect of outliers on these
Effects of shape of distribution
properties of the St. deviation
interpreting the magnitude of St. deviation
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Part and partial correlation
zero-order correlation
variance partitioning
predicted and residual variance
interpreting Venn diagrams
distinguishing between part and partial correlations
which should be larger and why?
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Normal Distribution
Properties of the normal
Percentile rank
Areas under the curve
Probabilities
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Multiple Regression
basic mathematical model
multiple slopes and single intercept
interpreting R and R2
prediction scores and residuals
significance testing (F test)
ways to assess independent contributions (beta, standardized beta, part and partial r)
assumptions of Multiple Regression
looking for violations - normality, linearity, multicolinearity
Hierarchical regression
Testing for Change in R2 |
Basic Research Design
IV and DV
Levels of Measurement
Between versus within group designs
correlational versus experimental designs |
Statistical Estimation
Point estimates
Confidence intervals
Relationship between point and interval estimators
Effect Size measures: Cohen's d and r
Properties of estimators (bias, consistency, efficiency)
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Logic of hypothesis testing
Ho and Ha
Conditional probability
Sampling distribution under Ho
Test statistic (index of departure from Ho)
p value and alpha level
Type I and Type II errors
Factors that affect Type I and Type II errors
Statistical power and the factors that affect it
One versus two tailed tests |
Sampling Distribution
Constructing a sampling distribution
Standard error of the Mean
Central limit theorem
Use in Statistical Inference
Effect of sample size on sampling distribution |
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Tests covered to date (know assumptions and when to use
each test)
One sample z test for the mean
One sample t-test for the mean
Testing R for significance
Testing for change in R2
Two sample t-test between groups (pooled estimate)
Two sample t-test between groups (separate variance
estimate)
Two sample t-test within groups
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