CHISQ.DIST

The CHISQ.DIST function in Google Sheets calculates the left-tailed chi-squared distribution, a statistic often used in hypothesis testing to compare observed and expected results. Whether you're validating a statistical model or running a goodness-of-fit test, CHISQ.DIST is an essential tool. Dive into our comprehensive guide to learn how it works.

Parameters

• x: The value at which to evaluate the distribution. Must be non-negative.
• degrees_freedom: The number of degrees of freedom.
• cumulative: A logical value — TRUE to return the cumulative distribution function, FALSE to return the probability density function.

Step-by-Step Tutorial

1. Calculating the cumulative chi-squared distribution:

   • Example: =CHISQ.DIST(3, 4, TRUE)
   • Result: approximately 0.4422

2. Calculating the probability density:

   • Example: =CHISQ.DIST(3, 4, FALSE)
   • Result: approximately 0.1673

Use Cases and Scenarios

1. Hypothesis Testing: Evaluate whether observed data significantly differs from expected data.
2. Goodness-of-Fit Tests: Assess how well a statistical model fits a set of observations.
3. Quality Assurance: Analyze variability in manufacturing or process data.

Related Functions

• CHISQ.DIST.RT: Returns the right-tailed chi-squared distribution.
• CHISQ.INV: Returns the inverse of the left-tailed chi-squared distribution.
• CHISQ.TEST: Returns the test for independence using the chi-squared distribution.

Related Articles

• Understanding Statistical Functions in Google Sheets