# CHISQ.TEST

The CHISQ.TEST function is used to calculate the significance of the chi-squared statistic. This is commonly used in statistical analysis to determine the probability that the observed data fits a specified distribution.

## Syntax

=CHISQ.TEST(`actual_range`

, `expected_range`

)

`actual_range` | The array or range of observed data. |

`expected_range` | The array or range of expected data based on a specified distribution. |

## About CHISQ.TEST

When delving into statistical analyses and seeking to ascertain the fit of observed data to an anticipated distribution, turn to the CHISQ.TEST function in Excel. This robust tool aids in quantifying the statistically significant difference between observed and expected data, serving as a pivotal component of hypothesis testing and model validation procedures. By harnessing the chi-squared test, Excel enthusiasts can gain valuable insights into the conformity or divergence of real-world data from theoretical distributions, facilitating informed decisions in various scientific and analytical domains. When applying CHISQ.TEST, users provide arrays or ranges of observed and expected data, paving the way for comprehensive evaluations of data fitting and distribution adherence within diverse statistical frameworks.

## Examples

Suppose you conduct a survey on color preferences and expect an equal distribution of responses (25% for each color). After collecting the data, you want to assess the statistical significance of the observed preferences compared to the expected distribution. If the observed data is in cells A2:A5 and the expected distribution is in cells B2:B5, you can use the CHISQ.TEST formula as follows: =CHISQ.TEST(A2:A5, B2:B5). This will return the significance of the chi-squared statistic for the given data and expected distribution, indicating the probability that the observed data fits the expected distribution.

Consider an experiment where the observed frequency of events deviates from the expected frequency based on a theoretical model. With the observed data in cells C2:C7 and the expected distribution in cells D2:D7, you can calculate the significance of the chi-squared statistic using the CHISQ.TEST function. The formula would be: =CHISQ.TEST(C2:C7, D2:D7). This enables you to gauge the probability that the observed data aligns with the expected distribution, aiding in the assessment of the model's suitability for the specific scenario.

## Questions

**How does the CHISQ.TEST function evaluate the significance of the chi-squared statistic?**

The CHISQ.TEST function computes the significance of the chi-squared statistic by comparing the observed data with the expected data based on a specific distribution. It estimates the probability that the observed data fits the expected distribution, providing valuable insights into the statistical fit and adherence to theoretical models.

**Can the CHISQ.TEST function handle both continuous and discrete distributions?**

Yes, the CHISQ.TEST function is designed to handle both continuous and discrete distributions, making it a versatile tool for assessing the statistical significance of observed data across a wide range of distributional assumptions and scenarios.

**Is it necessary to have equal-sized ranges for the observed and expected data in the CHISQ.TEST function?**

No, the CHISQ.TEST function accommodates varying sizes of observed and expected data ranges, offering flexibility in evaluating the statistical significance of different data distributions and sample compositions.

**Can the CHISQ.TEST function be applied to compare observed data to multiple expected distributions?**

Yes, the CHISQ.TEST function can be utilized to compare observed data to multiple expected distributions, enabling comprehensive assessments of data fitting and conformance across diverse statistical hypotheses and model evaluations.

## Related functions

CHISQ.DIST RTDVAR.RTU DVARVAR DVARPVAR