15.6: Appendix F- The q-Tables

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The tables show the Studentized Range \(q\)-values needed when hand-calculating HSD post-hoc comparisons.

	Number of Groups (\(k\))
Degrees of Freedom Within (\(df_w\))		2	3	4	5	6	7	8	9
	1	17.969	26.976	32.819	37.082	40.408	43.119	45.397	47.357
	2	6.085	8.331	9.798	10.881	11.734	12.435	13.027	13.538
	3	4.501	5.910	6.825	7.502	8.037	8.478	8.852	9.177
	4	3.927	5.040	5.757	6.287	6.707	7.053	7.347	7.602
	5	3.635	4.602	5.219	5.673	6.033	6.330	6.582	6.801
	6	3.461	4.339	4.896	5.305	5.629	5.895	6.122	6.319
	7	3.344	4.165	4.681	5.060	5.359	5.606	5.815	5.998
	8	3.261	4.041	4.529	4.886	5.167	5.399	5.596	5.767
	9	3.199	3.949	4.415	4.755	5.024	5.244	5.432	5.595
	10	3.151	3.877	4.327	4.654	4.912	5.124	5.304	5.461
	11	3.113	3.820	4.256	4.574	4.823	5.028	5.202	5.353
	12	3.081	3.773	4.199	4.508	4.748	4.947	5.116	5.263
	13	3.055	3.734	4.151	4.453	4.690	4.884	5.049	5.192
	14	3.033	3.701	4.111	4.407	4.639	4.829	4.990	5.130
	15	3.014	3.673	4.076	4.367	4.595	4.782	4.940	5.077
	16	2.998	3.649	4.046	4.333	4.557	4.741	4.896	5.031
	17	2.984	3.628	4.020	4.303	4.524	4.705	4.858	4.991
	18	2.971	3.609	3.997	4.276	4.494	4.673	4.824	4.955
	19	2.960	3.593	3.977	4.253	4.469	4.645	4.794	4.924
	20	2.950	3.578	3.958	4.232	4.445	4.620	4.768	4.895
	21	2.941	3.565	3.942	4.213	4.424	4.597	4.744	4.870
	22	2.933	3.553	3.927	4.196	4.406	4.577	4.722	4.847
	23	2.926	3.542	3.914	4.181	4.388	4.558	4.702	4.826
	24	2.919	3.532	3.901	4.166	4.373	4.541	4.684	4.807
	25	2.913	3.523	3.890	4.153	4.358	4.526	4.667	4.789
	26	2.907	3.514	3.880	4.142	4.345	4.512	4.652	4.773
	27	2.902	3.506	3.870	4.131	4.333	4.498	4.638	4.758
	28	2.897	3.499	3.861	4.120	4.322	4.486	4.625	4.745
	29	2.892	3.493	3.853	4.111	4.311	4.475	4.613	4.732
	30	2.888	3.487	3.845	4.102	4.302	4.464	4.601	4.720
	31	2.884	3.481	3.838	4.094	4.292	4.454	4.591	4.709
	32	2.881	3.475	3.832	4.086	4.284	4.445	4.581	4.698
	33	2.877	3.470	3.825	4.079	4.276	4.437	4.572	4.689
	34	2.874	3.465	3.820	4.072	4.268	4.428	4.563	4.680
	35	2.871	3.461	3.814	4.066	4.261	4.421	4.555	4.671
	36	2.868	3.457	3.809	4.060	4.255	4.414	4.547	4.663
	37	2.866	3.453	3.804	4.054	4.249	4.407	4.540	4.655
	38	2.863	3.449	3.799	4.049	4.243	4.400	4.533	4.648
	39	2.861	3.446	3.795	4.044	4.237	4.394	4.527	4.641
	40	2.858	3.442	3.791	4.039	4.232	4.389	4.521	4.635
	41	2.856	3.439	3.787	4.035	4.227	4.383	4.515	4.628
	42	2.854	3.436	3.783	4.030	4.222	4.378	4.509	4.622
	43	2.852	3.433	3.779	4.026	4.217	4.373	4.504	4.617
	44	2.850	3.430	3.776	4.022	4.213	4.368	4.499	4.611
	45	2.848	3.428	3.773	4.018	4.209	4.364	4.494	4.606
	46	2.847	3.425	3.770	4.015	4.205	4.359	4.489	4.601
	47	2.845	3.423	3.767	4.011	4.201	4.355	4.485	4.597
	48	2.844	3.420	3.764	4.008	4.197	4.351	4.481	4.592
	49	2.842	3.418	3.761	4.005	4.194	4.347	4.477	4.588
	50	2.841	3.416	3.758	4.002	4.190	4.344	4.473	4.584
	51	2.839	3.414	3.756	3.999	4.187	4.340	4.469	4.580

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