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Parameter
Population
Statistics
Sample
Stratified sample
sampling method that divides the population into distinct groups before sampling.
convince sample
sampling method that relies on the judgment of the researcher to select participants, often resulting in a non-random sample. Just asking anyone.
voluntary response
sampling method where participants self-select to be included, often leading to biased results.
cluster sampling
A sampling method that divides the population into clusters, usually based on geography or other naturally occurring groups, and then randomly selects entire clusters for analysis.
simple random sampling
A sampling method where each member of the population has an equal chance of being selected. This can be achieved using random number generators or drawing names from a hat.
systematic sampling
A method where participants are selected at regular intervals from a list. For example, if you want to pick every 10th person from a queue, you would start at a random point and then continue selecting every 10th person from there.
Qualitative data
Classifies individuals into categories
Quantitative
Numerical data
Nominal
Does not have a natural ordering (can be categorized but not ranked)
Ordinal
Has a natural ordering (rankings or scalings)
Discrete data
refers to specific and distinct values or observations that can be counted. Unlike
Continuous data
numerical variables that can assume any value within a specified range. They can take on an infinite number of values between two endpoints. The values they assume do not have fixed intervals and can be represented with any degree of precision via fractions or decimal points.
Observational study
a research method where data is collected by observing subjects in their natural environment without intervention or manipulation.
Double blind experiment
a research design where neither the participants nor the researchers know who receives the treatment or a placebo. It eliminates participant bias
Randomized experiment
a study design where participants or subjects are randomly assigned to a treatment group or a control group. This process neutralizes confounding variables, ensures baseline comparability, and allows researchers to attribute outcome differences directly to the intervention (causation) rather than selection bias
Relative frequency formula
Frequency of the event (or category)
Total number of trials or items
Relative frequency to pie chart (in degrees)
Relative Frequency x 360
mean symbol
x̄
Median symbol
Med
Mode
Most reoccurring number
resistant measure
value is not significantly affected by extreme data points or "outliers".
Midpoint
lower limit for a class +lower limit of next class
2
skewed to the left
Mean is less than the median
skewed to the right
mean is greater than the median
sample variance
s²
Sample standard deviation
Sx
IQR
Q3-Q1
Mean symbol
μ
Standard deviation symbol
σ