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Univariate analysis
Describes ONE variable using simple statistics like frequencies, proportions, and means
When is univariate analysis used?
When researchers want to describe the data or study population simply
Bivariable analysis
Examines the relationship between TWO variables using tests like odds ratios or rate ratios
When is bivariable analysis used?
When comparing two or more groups/populations
Multivariable analysis
Examines relationships among THREE OR MORE variables
Variable
Any single item of information in a dataset
Continuous variable
A numeric variable that can take ANY value within a range
Example of a continuous variable
Weight
Discrete variable
A numeric variable that cannot take every value
Example of a discrete variable
Number of children
Ordinal variable
A variable with a meaningful order/ranking
Examples of ordinal variables
Always to never, best to worst
Nominal (categorical) variable
A variable with NO inherent order
Examples of nominal variables
Hair color, yes/no, country of birth
Mean
The average; add all values and divide by total number of values
Median
The middle value after ordering numbers least to greatest
Mode
The most frequently occurring value
Range
Maximum value minus minimum value
Quartiles
Values that divide data into four equal parts
Interquartile range (IQR)
The middle 50% of values in a dataset
Histogram
Displays distribution of numeric data using bars
Histogram axes
X-axis = values, Y-axis = frequency/count
Boxplot
Displays median, IQR, and outliers of a numeric variable
Bar chart
Displays categorical data using bars proportional to values
Pie chart
Displays percentages of categories within one whole population
Normal distribution
A bell-shaped curve with one peak in the middle
Skewness
A measure of asymmetry in a distribution
Kurtosis
Describes how peaked or flat a distribution is
Variance
Average of squared differences from the mean
Standard deviation (SD)
The square root of variance; measures spread of data
Small SD means
Responses are close to the mean
Large SD means
Responses are spread out widely from the mean
In a normal distribution, what percent falls within 1 SD?
68%
In a normal distribution, what percent falls within 2 SDs?
95%
In a normal distribution, what percent falls within 3 SDs?
More than 99%
Confidence interval (CI)
A range of plausible values for a population parameter
What happens to a CI when sample size increases?
The confidence interval becomes narrower
95% confidence interval
We are reasonably confident the true population value falls in that range
For roughly normal continuous variables, what should be reported?
Mean (SD)
For skewed continuous variables/outliers, what should be reported?
Median (IQR)
For categorical variables, what should be reported?
n (%) in each category
Table 1 in research papers
Summary of participant characteristics before the main analysis
What does Table 1 help readers understand?
Who participated and whether groups are similar at baseline
Fabrication
Making up fake data
Falsification
Misrepresenting results
Plagiarism
Using others’ work without proper credit
Mean vs median vs mode
Mean = average, Median = middle, Mode = most common
Range formula
Maximum minus minimum
IQR meaning
Middle 50% of the data
SD meaning
Measures spread/variability of data
Histogram vs bar chart
Histogram = numeric data, Bar chart = categorical data
Boxplot shows
Median, IQR, and outliers
68-95-99 rule
68% within 1 SD, 95% within 2 SDs, 99%+ within 3 SDs