How to Perform a One-Way ANOVA in Python Last Updated : 05 May, 2025 Summarize Comments Improve Suggest changes Share Like Article Like Report One-Way ANOVA is a statistical test used to check if there are significant differences between the means of three or more groups i.e analysis of variance. It helps us to find whether the variations in data are due to different treatments or random chance.Hypotheses in One-Way ANOVAOne-way ANOVA has null and alternative hypotheses:H0 (null hypothesis): μ1 = μ2 = μ3 = … = μk i.e it implies that the means of all the population are equal.H1 (null hypothesis): It states that there will be at least one population mean that differs from the rest.Example:Imagine we want to compare the performance of four different engine oils used in cars. The cars drive 100 kilometers with each type of oil and their performance is recorded. We want to check if the performance differs depending on the oil used. Now we will use One-Way ANOVA test in Python with following steps:Step 1: Install Required LibrariesWe need to install the SciPy library in our system. We can install it using below command in terminal:pip3 install scipyStep 2: Create Data GroupsWe create arrays representing the performance of cars with each engine oil. Python performance1 = [89, 89, 88, 78, 79] performance2 = [93, 92, 94, 89, 88] performance3 = [89, 88, 89, 93, 90] performance4 = [81, 78, 81, 92, 82] Step 3: Perform One-Way ANOVANow we use the f_oneway() function from SciPy to conduct the One-Way ANOVA test. Python from scipy.stats import f_oneway f_statistic, p_value = f_oneway(performance1, performance2, performance3, performance4) print(f"F-statistic: {f_statistic}") print(f"P-value: {p_value}") Output:ResultStep 4: Analyze the ResultThe output will provide two important values:F-statistic: It measures the variance between the groups relative to the variance within the groups.P-value: It helps determine if the results are statistically significant.Since p-value is less than 0.05 hence we would reject the null hypothesis. This implies that we have sufficient proof to say that there exists a difference in performance among four different engine oils. Comment More infoAdvertise with us Next Article How to Perform an F-Test in Python B bhuwanesh Follow Improve Article Tags : Python Geeks Premier League Geeks-Premier-League-2022 Python-scipy Practice Tags : python Similar Reads How to Perform a Two-Way ANOVA in Python Two-Way ANOVA in statistics stands for Analysis of Variance and it is used to check whether there is a statistically significant difference between the mean value of three or more. It interprets the difference between the mean value of at least three groups. Its main objective is to find out how two 2 min read How to Perform an ANCOVA in Python ANCOVA (Analysis of Covariance) is used to identify the statistical difference between means of 2 or more independent groups after controlling one or more explanatory variables (Covariates). Variables that influence a response variable but are irrelevant to the study are known as covariates. The ind 3 min read How to Perform a Three-Way ANOVA in R Analysis of Variance (ANOVA) is a powerful statistical technique used to compare means across multiple groups. A Three-Way ANOVA extends this analysis to investigate the interaction effects between three categorical variables on a continuous outcome variable. In this detailed guide, we will walk thr 5 min read How to Perform Welchâs ANOVA in Python When the assumption of equal variances is violated, Welch's ANOVA is used as an alternative to the standard one-way ANOVA. A one-way ANOVA ("analysis of variance") is used to see if there is a statistically significant difference in the means of three or more independent groups. Steps to perform Wel 3 min read How to Perform an F-Test in Python In statistics, Many tests are used to compare the different samples or groups and draw conclusions about populations. These techniques are commonly known as Statistical Tests or hypothesis Tests. It focuses on analyzing the likelihood or probability of obtaining the observed data that they are rando 10 min read How to perform a Nested ANOVA Test in Excel? A nested ANOVA is a sort of ANOVA ("examination of fluctuation") in which something like one component is settled inside another element. For instance, assume a specialist needs to know whether three unique formulas of medicine produce various degrees of treatment. To test this, he has three unique 2 min read Like