Making a statement about the population and all its samples based on what we see in the samples we have
Key elements in statistical inference
Population
Sample
Randomly selected
Variability
The amount of change or fluctuation we see in something
Null Hypothesis (Ho)
A statement that the performance of treatment groups is so similar that the groups must belong to the same populations' a way of saying that the experimental manipulation had no important effect
Alternative hypothesis (H1)
There is no way to directly test the states that the data came from different populations
Directional Hypothesis (One-Tailed)
A statement that predicts the exact patterns of results that will be observed, such as which treatment group will perform best
Normal Curve
A symmetrical, bell-shaped curve. Many of the scores represented by this distribution fall close to the center
Significance level (alpha level)
A criterion for deciding whether to reject the null hypothesis or not. P < 05 (read "p less than .05")
Experimental Errors
Variations in subjects' scores produced by uncontrolled extraneous variables in the experimental procedure, data might not be a true reflection of the independent variable's impact
Type 1 Error (False Positive)
An error made by rejecting the null hypothesis even though it is really true; stating that an effect exists when it really does not
Type 2 Error (False Negative)
An error made by failing to reject the null hypothesis even though it is really true; failing to detect a treatment effect
Effect size
A statistical estimate of the size or magnitude of a treatment effect
Confidence intervals
A range of values that we feel confident will include the population mean (the true mean)
Two-tailed test
A statistical procedure used when a non- directional prediction has been made, the critical region of the distribution of the test statistic is divided over both tails of the distribution
Non-directional hypothesis
A statement that predicts a difference between treatment groups without predicting the exact pattern of results
One-tailed test
Statistical procedure used when a directional prediction has been made, the critical region of the distribution of the test statistic is measured in just one tail of the distribution
Inferential statistics
Statistics that can be used as indicators of what is going on in the population. They are also called test statistics because they can be used to evaluate results
Test statistic
A numerical summary of what is going on in our data
Raw Data
Data recorded an an experiment is run; the responses of individual subjects
Summary Data
Descriptive statistics computed from the raw of an experiment, including the measures of central tendency and variability
Descriptive statistics
The standard procedures used to summarize and describe data quickly and clearly; summary statistics reported for an experiment, including mean, range and standard deviation
Measure of Central Tendency
Summary statistics that describe what is typical of a distribution of scores; include mean, median and mode
Mode
The most frequently occurring score in a distribution; a measure of central tendency
Mean
An arithmetical average computed by dividing the sum of a group of scores by the total number of scores, a measure of central tendency
Median
If the scores in a distribution are listed in order from smallest to largest, the median is the midpoint of the list
Variability
Fluctuation in data; can be defined numerically as the range, variance, or standard deviation
Range
The difference between the largest and smallest scores in a set of data; a rough indication of the amount of variability in the data
Variance
The average squared deviation of scored from their mean; a more precise measure of variability than the range
Standard Deviation
A measure of the amount of variation or dispersion of a set of values
Independent Variable
An experiment's independent variable (IV) is the dimension that the experimenter intentionally manipulates
Dependent Variable
The response measure of an experiment that is dependent on the subject
Hess (1975) tested the hypothesis: Large pupils make people more attractive
Schachter's hypothesis states a potential relationship between two variables—anxiety and affiliation
Operational definition
Specifies the precise meaning of a variable within an experiment: It defines a variable in terms of observable operations, procedures, and measurements
Experimental operational definitions
Explain the precise meaning of the independent variables; these definitions describe exactly what was done to create the various treatment conditions of the experiment
Measured operational definitions
Describe exactly what procedures we follow to assess the impact of different treatment conditions
Hypothetical constructs or concepts
Unseen processes postulated to explain behavior
Reliability
Consistency and dependability. Good operational definitions are reliable
Interrater Reliability
One way to assess reliability of measurement procedures is to have different observers take measurements of the same responses