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38 Cards in this Set

  • Front
  • Back
What are statistics
tools used to describe, organize, and interpret information

summarize and predict

compare and relate
Descriptive Statistics
summarizes
organizes a lot of information
simplifies data
Types :
mean, median, mode, correlation, z score, range, standard deviation
Inferential Statistics
Generalize and predict

z tests, t tests, regression, confidence intervals, chi square
Descriptive vs inferential
describe vs infer
summarize vs predict
Primary purpose of descriptive statistics
to simplify

does this by placing on a frequency distribution
Frequency Distributions
Descriptive Statstics

Summarize and organize data

some form of list of data
Frequency Distributions chart
Measure how many people (frequency) something happens at different levels
Frequency Distributions:
Relative
Measures % of people out of the entire frequency for each level
Frequency Distributions:
Cumulative
measures as frequency goes up
ex:
amount under 100
amount under 200
amount under 300

number accumulates
Most common graph used for frequency distributions:
Histogram
Three main things used to describe a histogram or a distribution
Shape (bell, normal distribution, mean)
Middle (mean)
Spread (how spread out is the data)
Positive Skew
Most scores low, tail points right
high and then low
Negative Skew
Most scores high
low and then high
Measures of central tendency
Mean
Median
Mode
Mode
Most frequently chosen

Represents where most data will cluster around

Rarely Used

Barely tells anything
Median
Middle point

To find, order all observations low to high, find middle point

Not susceptible to outliers

Not mathematically interesting
Mean
Average

If you add or subtract from constant, the mean will move exact amount

If you multiply or divide, the mean will move the exact same

Balance point, usable, value

Ouliers
Positive skew
Mean > Median> Mode

On graph, it goes mode, median mean
Negative skew
Mean<Median< Mode

On graph, it goes mean, median, mode
If the shape and central tendency is normal then....
mode=median=mean
Variation
Spread of scores
Range
Highest score - lowest score

susceptible to outliers because uses most extreme values
Standard Deviation
Most common measure of variability

How scores vary around the mean

Know formula
rule for St Dev in a normal curve
68-95-99.7 rule
% in one st dev
% in 2 st dev
% in 3 st dev
68% (34% +/ -)
95% (47.5% +/- )
99.7% (49.9% +/-)
Correlation
Describes relationship between 2 variables

how strongly or weakly

NOT causation
Scatterplots
Show the relationship between two variables

used with correlation
Characteristics of Correlation (3)
Direction
Form
Strength
Direction of Correlation (2)
Positive (line comes from middle diagonal)

Negative (line forms triangle in center)
Correlation

Form
Linear (straight line form)

Curvilinear (curve or no straight line)
Strength of Correlation
The closer correlation is to 1, the stronger

0 equals no correlation
r strength small med large
small r= .1
med r= .24
large r= .37
Valdity
Intent, thermometer, whether it is right or not

does it mean the right thing

content, criterion, construct
Validity:
Content
subjective
examines content of the meaurement to see if it appears to be related to what the researcher wished
Validity:
Criterion Related
predictive
concurrent (agreeing)

how accurately can a new messages predict a well excepted or previously validated concept
Validity:
Construct related
Broadest
Judgement

is it measuring what it is supposed to measure
Reliability
consistency, stability
necessary for validity, but not enough to be valid
Reliability
Test- Retest
Do the same test twice and test the correlation between the results