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Nominal Data
Putting observations into a category
Qualitative Data
consists of words or codes that represent a category
Ordinal data
Put ranks observations compared to one another
Ranked Data
consists of numbers that indicate order/standing
Ratio/interval data
puts observations on a scale with a true zero and equal intervals
Quantitative data
numbers that indicate an amount or count of something
Descriptive statistics
Summarize data, true fact of the given dataset
Inferential statistics
Uses a small sample to estimate something about a big population
What kind of testing uses Inferential statistics
Hypothesis
Independent Variable
a group, treatment, condition, or other situation that is manipulated by the experimenter
Dependent variable
something believed to be influenced by the independent variable(s)
Confounding variable
a variable that the experimenters have failed to account for that compromises the interpretation of a study
Population
An entire, comprehensive group
Sample
a subset of the population, typically used to infer things about the population
Sampling
Random samples are not casual or haphazard, getting truly random samples requires care
Random sampling
is used when surveying, to obtain a “snapshot” of the population
Random assignment
is a process used in an experiment to minimize bias in your experimental groups
Number of observations symbol for a sample
n
Number of observations symbol for a population
N
Mean symbol for a sample
x̄
Mean symbol for a population
μ
Variance symbol for a sample
SD²
Variance symbol for a population
σ²
Central tendency
Middle of the data set
Variability/ dispersion
How spread out a dataset is
Mean
Common average
How to calculate mean
The sum of all observations, divided by the number of observations
Median
Splits the dataset into two halves of equal size
Mode
The most common value(s) in a dataset
Standard deviation symbol for a sample
SD
Standard deviation symbol for a population
σ
Robust
Can tolerant without losing value
what type of data is mean most popular for
Interval/ ratio data
what type of data is median most popular for
Interval/ ratio and ordinal data
what type of data is mode most popular for
Nominal and ordinal data
Data can almost always be what
Demoted
Data can never be what
Promoted
What are examples of descriptive statistics
Counts, central tendency (average), variability, correlation
What does inferential statistics depend on?
the quality of the input
WHat is inferential statistics separated into
Parametric and non-parametric
What are examples of inferential statistics?
t-tests and ANOVA
Negative skew
a lot of negative data, left side
Positive skew
a lot of positive, right side
Biomodel
2 modes, 2 populations, 2 curves laid on top of each other
Binning
0-100 to ordinal scale, ‘putting in a bin’
Variability
give us a unique definition of our distribution, whats weird about it
Range
the simplest measure of variability
How to calculate range
the difference between the largest and smallest values
Sum of squares
a measure of variability, but we rarely use it on it’s own
How to calculate standard deviation
The square root of the variance
What STVDEV calculation does SSPS use
Sample Standard Deviation
Standard deviation
a normalized measure of how widely distributed a dataset is
3 rules of standard deviation
The majority of scores/samples appear within one standard deviation
A moderate amount of scores deviate by 1-2 standard deviations
Few scores deviate more than two standard deviations
Standard Normal curve
Mean of 0, % is # observative
What is with in 1 STVDEV
68% of the data closest to the mean
What is with in 2 STVDEV
27% of the data closest to the mean
What is with in 3 STVDEV
5% of the data closest to the mean
Interquartile of Range
The range of the middle 50% of scores
Why is interquartile range useful
Not affected by outliers, a good measure of variability when several or extreme outliers are present
Frequency count
Counting how often it shows in data
Cumulative percent
Frequently and above
Cumulative count
Cumulative percent to numbers