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The test is applied to samples from two or more groups, possibly with differing sizes." } ] } ], "title": [], "level": 0, "target": null }, "Other Parameters": { "__type": "Section", "__tag": 4015, "children": [], "title": [], "level": 0, "target": null } }, "_ordered_sections": [ "Summary", "Extended Summary", "Parameters", "Attributes", "Methods", "Returns", "Yields", "Receives", "Other Parameters", "Raises", "Warns", "Warnings", "Notes" ], "item_file": "build-install/usr/lib/python3.14/site-packages/scipy/stats/_stats_py.py", "item_line": 4079, "item_type": "function", "aliases": [ "scipy.stats.alexandergovern" ], "example_section_data": { "__type": "Section", "__tag": 4015, "children": [ { "__type": "Code", "__tag": 4050, "value": "from scipy.stats import alexandergovern\n", "execution_status": "success", "out": "" }, { "__type": "Text", "__tag": 4046, "value": "\nHere are some data on annual percentage rate of interest charged on\nnew car loans at nine of the largest banks in four American cities\ntaken from the National Institute of Standards and Technology's\nANOVA dataset.\n\nWe use `alexandergovern` to test the null hypothesis that all cities\nhave the same mean APR against the alternative that the cities do not\nall have the same mean APR. We decide that a significance level of 5%\nis required to reject the null hypothesis in favor of the alternative.\n\n" }, { "__type": "Code", "__tag": 4050, "value": "atlanta = [13.75, 13.75, 13.5, 13.5, 13.0, 13.0, 13.0, 12.75, 12.5]\nchicago = [14.25, 13.0, 12.75, 12.5, 12.5, 12.4, 12.3, 11.9, 11.9]\nhouston = [14.0, 14.0, 13.51, 13.5, 13.5, 13.25, 13.0, 12.5, 12.5]\nmemphis = [15.0, 14.0, 13.75, 13.59, 13.25, 12.97, 12.5, 12.25,\n 11.89]\n", "execution_status": "success", "out": "" }, { "__type": "Code", "__tag": 4050, "value": "alexandergovern(atlanta, chicago, houston, memphis)\n", "execution_status": "failure", "out": "AlexanderGovernResult(statistic=np.float64(4.650870718834939), pvalue=np.float64(0.1992213249038521))\n" }, { "__type": "Text", "__tag": 4046, "value": "\nThe p-value is 0.1992, indicating a nearly 20% chance of observing\nsuch an extreme value of the test statistic under the null hypothesis.\nThis exceeds 5%, so we do not reject the null hypothesis in favor of\nthe alternative." } ], "title": [], "level": 0, "target": null }, "see_also": [ { "__type": "SeeAlsoItem", "__tag": 4028, "name": { "__type": "CrossRef", "__tag": 4002, "value": "f_oneway", "reference": { "__type": "LocalRef", "__tag": 4022, "kind": "module", "path": "scipy.stats._stats_py:f_oneway" }, "kind": "module" }, "descriptions": [ { "__type": "Paragraph", "__tag": 4045, "children": [ { "__type": "Text", "__tag": 4046, "value": "one-way ANOVA" } ] } ], "type": "func" } ], "signature": { "__type": "SignatureNode", "__tag": 4029, "kind": "function", "parameters": [ { "__type": "SigParam", "__tag": 4030, "name": "samples", "annotation": { "__type": "Empty", "__tag": 4031 }, "kind": "VAR_POSITIONAL", "default": { "__type": "Empty", "__tag": 4031 } }, { "__type": "SigParam", "__tag": 4030, "name": "nan_policy", "annotation": { "__type": "Empty", "__tag": 4031 }, "kind": "KEYWORD_ONLY", "default": "propagate" }, { "__type": "SigParam", "__tag": 4030, "name": "axis", "annotation": { "__type": "Empty", "__tag": 4031 }, "kind": "KEYWORD_ONLY", "default": "0" }, { "__type": "SigParam", "__tag": 4030, "name": "keepdims", "annotation": { "__type": "Empty", "__tag": 4031 }, "kind": "KEYWORD_ONLY", "default": "False" } ], "return_annotation": { "__type": "Empty", "__tag": 4031 }, "target_name": "alexandergovern" }, "references": [ ".. [1] Alexander, Ralph A., and Diane M. Govern. \"A New and Simpler", " Approximation for ANOVA under Variance Heterogeneity.\" Journal", " of Educational Statistics, vol. 19, no. 2, 1994, pp. 91-101.", " https://www.jstor.org/stable/1165140" ], "qa": "scipy.stats._stats_py:alexandergovern", "arbitrary": [], "local_refs": [ "*samples", "axis", "keepdims", "nan_policy", "res" ] }