Statistical Analysis Wizard
Upload your research data (CSV) to automatically calculate statistics and generate visualizations.
Sample Size Calculator
Determine the minimum sample size required for your study based on confidence level, margin of error, and population proportion.
Common Research Formulas
A quick reference for frequently used statistical formulas in academic research.
Standard Deviation
σ = √[ Σ(xi - μ)² / N ]
Measures the amount of variation or dispersion of a set of values.
Margin of Error
E = Z * (σ / √n)
The amount of error that can be tolerated in a study, often expressed as a percentage.
Confidence Interval
CI = x̄ ± Z * (σ / √n)
A range of values that you're fairly sure your true value lies in.
Chi-Square Test
χ² = Σ [ (O - E)² / E ]
Used to compare observed results with expected results.
t-Test
t = (x̄₁ - x̄₂) / √[ (s₁²/n₁) + (s₂²/n₂) ]
Used to determine if there is a significant difference between the means of two groups.
Correlation Coefficient (r)
r = [ n(Σxy) - (Σx)(Σy) ] / √[ [nΣx² - (Σx)²] [nΣy² - (Σy)²] ]
Measures the strength and direction of a linear relationship between two variables.