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Statistics
A numerical representation of info
Statistical methods
Quantifying and applying numbers to data in order to organize, summarize, and analyze information
What are the two types of statistics?
Descriptive and Inferentical
Variable
Anything that can take on more than one value
What are the various types of variables?
Quantitative
Qualitative
Continuous
Discrete
Observable
Latent
Population
Large group of people
Sample
Randomly selected group from the population
What are the scales of measurement?
Magnitude
Equal intervals
Absolute 0
What are the different types of scales?
Ordinal
Nominal
Interval
Ratio
Descriptive stats
Help us with describing what has occurred
Inferential stats
Allow us to speculate about what cannot be directly observed or measured.
Magnitude
It is a measure of “moreness” of a given quantity
Equal intervals
The difference between two points at any place on the scale has the same meaning as the difference between two other points that differ by the same number of scale units.
Absolute 0
It is an absence of the property being measured rather than an arbitrary, relative zero
Nominal
No scale quantities
Examples: names, lists of words
Ordinal
Scale qualities: magnitude
Examples: rank ordered, likert scales
Interval
Scare qualities: magnitude, equal intervals
Examples: temperature
Ratio
Scale qualities: magnitude, equal intervals, absolute 0
Example: age, height, weight
Distribution
A set of scores
Frequency distribution
A distribution ranked by the number of responses or each variable
Group frequency distribution
A distribution that groups ranges of scores. Often used when there is a high number of discrete scores.
Symmetrical
One side of the curve mirrors the other
Asymmetrical
Skew exists in the curve
Kurtosis
A statistic that reflects the peakeness or flatness of a distribution relative to a normal distribution
Standard score
Refers to scores that have been converted is an interpretable scale that has a set mean and standard deviation
Linear transformation
Uses a direct relationship between scores
Area transformations
Uses the area to create scale scores
Raw score
Number of correct answers or behaviors observed
Percentiles
Scores that reflect the rank or position of an individual’s test performance on a continuum from 0 to 99 in comparison to others who took the test
Percentages
A form of raw score that reflects the numbers of correct responses obtained out of the total possible number of correct responses on a test
What are measures of central tendency?
Mean, median and mode
Variability
The degree to which scores differ from one another
Measures of variability
The degree to which scores differ from the mean. There are several methods for measuring variability
What is the mean and standard duration of a t-score?
Mean: 50
S.D: 10