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Objective Reasoning
Not influenced by personal feelings; based on facts; unbiased.
Subjective Reasoning
Existing in the mind; belonging to the thinking subject rather than to the object of thought.
Statistics
The practice or science of collecting and analyzing numerical data to infer properties of a whole from a representative sample.
Descriptive Statistics
Methods used to report a data set in summarized form without making predictions.
Inferential Statistics
Mathematical approach to deducing the probability of characteristics in a population based on a sample.
Statistical Literacy
Understanding the role of data, statistical terms, and effectively communicating statistical information.
Nominal Scale
A measurement scale that involves named variables, independent variable.
Ordinal Scale
A measurement scale with named and ordered variables.
Interval Scale
A measurement scale with named, ordered, and proportionate intervals between variables.
Ratio Scale
A measurement scale that includes named, ordered, proportionate intervals and can accommodate absolute zero.
Central Tendency
A single score that best represents all of the scores.
Mean
The average of a data set, calculated as Σ X/n.
Median
The middle value in a data set, calculated as (n + 1)/2.
Mode
The most common score in a data set.
Normal Curve Characteristics
Mean, median, and mode are the same; symmetrical about midpoints; tails are asymptotes.
Confidence Interval
Provides an expected upper and lower limit for a statistic at a specified probability level.
Type I Error
Rejecting the null hypothesis when it is true; a false positive.
Type II Error
Retaining the null hypothesis when it is false; a false negative.
Pearson Product Moment Correlation
A statistical technique used to determine the relationship between two variables.
Regression Equation
Y=a+bX; a formula predicting the behavior of a dependent variable based on one or more independent variables.
True Score Theory
Every measurement consists of true ability and error; perfect reliability has no random error.
Reliability
Consistency or dependability of a measurement.
Validity
The degree to which a test measures what it claims to measure.
Face Validity
Does the test appear to measure what it is supposed to measure?
Content Validity
The extent to which a measuring instrument contains representative tasks for the intended construct.
Concurrent Validity
The degree to which test scores correlate with a gold standard measure.
Predictive Validity
The extent to which a measure predicts future outcomes.
Construct Validity
The degree to which a test measures the theoretical construct it aims to measure.
Correlation Coefficient
A numerical indicator of the strength and direction of the relationship between two variables.
Statistical Significance
Indicates that a result is unlikely to have occurred by chance alone.
ANOVA (Analysis of Variance)
A statistical method used to compare means across three or more groups.
Chi-Square Test
A non-parametric test used to assess whether observed frequencies differ from expected frequencies.
Statistical Significance vs. Meaningfulness
Statistical significance must be interpreted in context, as it does not alone determine practical implications.
descriptives
methods to report data in summarized form
Test-Retest Reliability
used to assess the consistency of a measure from one time to another
In a normal distribution with a mean of 50 and std dev of 9, 95% of the scores would lie between what two numbers
32 and 68
Ratio
has a true zero
ANOVA, the null hypothesis is normally true when your F value is closest to
1
Inferential statistics
Mathematical approach to deducing the probability of the occurrence of a characteristic in a population based on the measured characteristics of a sample
Leptokurtic
high peakedness and thin
platykurtic
low peakedness and wide
General Linear Model
A system of equations that is used as the mathematical framework for most the statistical analyses used in applied social research
Nominal
categorical form of measurement
Standard Deviation
Estimate of the variability of the scours of a group around the mean
A correlation of r=0.80 would have a coefficient of determination
0.64 (r²)
shrinkage
In a multiple regression, this would decreased the prediction value when applied to a new sample
Type II Error
Retain the null even though its false
Power
Concept of increasing the chance of rejecting a false null hypothesis
Correlation
Statistical technique to determine the relationship between two or more variables
Random error
caused by any factors that randomly affect measurement on the variables across the sample
Systematic error
caused by any factors that systematically affect measurement of the variable across the sample
Inter-Rated/Inter-Observer Reliability
used to assess the degree to which different raters/observers give consistent estimates of the same phenomenon, best way to estimate reliability when measure is an observation
parallel-forms reliability
used to assess the consistency of the results of two tests constructed in the same way from the same content domain
Internal Consistency Reliability
used to assess the consistency of results across items within a test, commonly used in measurements (Cronbach’s Alpha)