dz from t for correlated samples n pairs t-value 10 4.74341649 Cohen's dz 1.5 CL effect size 0.933192799 Correlated (or Dependent) Samples Mean 1 8.7 Mean 2 7.7 Mdiff 1 Cohen's dz 1.5 SD 1 0.823272602 SD 2 0.948683298 Sdiff 0.666666667 Cohen's drm 1.111332336 "Reporting Example: Mean 1 was higher (M = 8.7, SD = 0.82) than Mean 2 (M = 7.7, SD = 0.95), t(9) = 4.74, p = .001, 95% CI [0.52, 1.48], Hedges’s gav = 1.03 95% CI [0.50, 1.72]. The CL effect size indicates that after controlling for individual differences, the likelihood that a person scores higher for Mean 1 than for Mean 2 is 93%." n pairs 10 r 0.72554232 SEdiff 0.210818511 Hedges grm 1.016075279 95% CI Mdiff [Low; High] 0.5231 Cohen's dav 1.125879938 1.4769 Hedges gav 1.029375943 t 4.74341649 df 9 p 0.00 Recommended: Gav CL effect size 0.933192799 Partial η² F 0.168 ηp² 0.009247028 Independent Samples "Reporting Example: Group 1 scored higher (M = 8.7, SD = 0.82) than Group 2 (M = 7.7, SD = 0.95), t(18) = 2.52, p = .022, 95% CI [0.17, 1.83], Hedges’s gs = 1.08, 95% CI [0.13, 2.01]. The CL effect size indicates that the chance that for a randomly selected pair of individuals the score of a person from Group 1 is higher than the score of a person from group 2 is 79%." df effect 1 ωp² -0.043405676 Mean group 1 8.7 Mean group 2 7.7 95% CI Mdiff [Low; High] 0.165487484 Cohen's ds 1.125879938 df error 18 p 0.686732322 SD group 1 0.823272602 SD group 2 0.948683298 1.834512516 Cohen's d 1.186781658 "Reporting Example: Group 1 scored higher (M = 8.7, SD = 0.82) than Group 2 (M = 7.7, SD = 0.95), F(1, 18) = 6.34, p = .022, ωp²= 0.22, 90% CI [0.02, 0.48]." n group 1 10 n group 2 10 t 2.517544075 Hedges's gs 1.078307546 df 18 CL effect size 0.787018081 p 0.0215 ds from t for independent samples ds from t for independent samples Total N t-value n group 1 n group 2 t-value 20 2.517544075 10 10 2.517544075 Cohen's ds ≈ p p Cohen's ds = 1.125879938 0.021508334 0.021508334 1.125879938 Hedges gs ≈ df df Hedges gs = 1.078307546 18 18 1.078307546 CL ≈ CL ≈ 0.787018081 0.787018081 Data for two groups of observations used as the basis for the example results. Group 1 Group 2 Difference 9.00 9.00 0.00 7.00 6.00 1.00 8.00 7.00 1.00 9.00 8.00 1.00 8.00 7.00 1.00 9.00 9.00 0.00 9.00 8.00 1.00 10.00 8.00 2.00 9.00 8.00 1.00 9.00 7.00 2.00 M 8.70 7.70 1.00 SD 0.82 0.95 0.67 ##### Sheet/List 2 ##### (P; within) Design (A; between) X (P; within) Design (P; within) X (Q; Within) Design (A; Between) X (P; within) X (Q; Within) Design (A; Between) X (B; Between) X (P; Within) Design Tests of Within-Subjects Effects ηG² for (P; within) Tests of Within-Subjects Effects ηG² for (A; between) X (P; within) Tests of Within-Subjects Effects ηG² for (P; within) X (Q; within) Tests of Within-Subjects Effects ηG² for (A; between) X (P; within) Tests of Within-Subjects Effects ηG² for (A; between) X (P; within) Measure: MEASURE_1 Main Within Measure: MEASURE_1 Main Between Main Within Interaction Measure: MEASURE_1 Main Within P Main Within Q Interaction Between Measure: MEASURE_1 Main Between A Main Within P Interaction P A Main Within Q Interaction Q A Interaction P Q Three-Way A P Q Measure: MEASURE_1 Main Between A Main Between B Interaction A X B Main Within Interaction A X P Interaction P X B Three-Way P X A X B Source Type III Sum of Squares df Mean Square F Sig. Partial Eta Squared SSP MSP Source Type III Sum of Squares df Mean Square F Sig. Partial Eta Squared SSA SSP SSPA Source Type III Sum of Squares df Mean Square F Sig. Partial Eta Squared SSP SSQ SSPQ SSs Source Type III Sum of Squares df Mean Square F Sig. Partial Eta Squared SSA SSP SSPA SSQ SSQA SSPQ SSPQA Source Type III Sum of Squares df Mean Square F Sig. Partial Eta Squared SSA SSB SSAB SSP SSPA SSPB SSPAB WithinFactor1 Sphericity Assumed 40.613 1 40.613 21.150 .000 .352 40.6125 40.6125 WithinFactor1 Sphericity Assumed 40.613 1 40.613 61.059 .000 .616 15.3125 40.6125 49.6125 WithinFactor1 Sphericity Assumed 124.256 1 124.256 176.258 .000 .819 124.25625 13.80625 28.05625 27.49375 WithinFactor1 Sphericity Assumed 124.256 1 124.256 262.501 .000 .874 6.00625 124.25625 9.50625 13.80625 97.65625 28.05625 0.00625 WithinFactor1 Sphericity Assumed 40.613 1 40.613 60.540 .000 .627 15.3125 0.0125 2.1125 40.6125 49.6125 0.1125 1.0125 Greenhouse-Geisser 40.613 1.000 40.613 21.150 .000 .352 SSPs MSPs Greenhouse-Geisser 40.613 1.000 40.613 61.059 .000 .616 SSs/A SSPs/A Greenhouse-Geisser 124.256 1.000 124.256 176.258 .000 .819 SSPs SSQs SSPQs Greenhouse-Geisser 124.256 1.000 124.256 262.501 .000 .874 SSs/A SSPs/A SSQs/A SSPQs/A Greenhouse-Geisser 40.613 1.000 40.613 60.540 .000 .627 SSs/AB SSPs/AB Huynh-Feldt 40.613 1.000 40.613 21.150 .000 .352 74.8875 1.920192308 Huynh-Feldt 40.613 1.000 40.613 61.059 .000 .616 23.875 25.275 Huynh-Feldt 124.256 1.000 124.256 176.258 .000 .819 27.49375 126.94375 23.69375 Huynh-Feldt 124.256 1.000 124.256 262.501 .000 .874 21.4875 17.9875 29.2875 23.6875 Huynh-Feldt 40.613 1.000 40.613 60.540 .000 .627 21.75 24.15 Lower-bound 40.613 1.000 40.613 21.150 .000 .352 SSs MSs Lower-bound 40.613 1.000 40.613 61.059 .000 .616 MSA MSP MSPA Lower-bound 124.256 1.000 124.256 176.258 .000 .819 MSP MSQ MSPQ Lower-bound 124.256 1.000 124.256 262.501 .000 .874 MSA MSP MSPA MSQ MSQA MSPQ MSPQA Lower-bound 40.613 1.000 40.613 60.540 .000 .627 MSA MSP MSQ MSP MSPA MSPB MSPAB Error(WithinFactor1) Sphericity Assumed 74.888 39 1.920 39.1875 1.004807692 WithinFactor1 * BetweenFactor Sphericity Assumed 49.613 1 49.613 74.591 .000 .662 15.3125 40.6125 49.6125 Error(WithinFactor1) Sphericity Assumed 27.494 39 .705 124.25625 13.80625 28.05625 WithinFactor1 * BetweenFactor Sphericity Assumed 9.506 1 9.506 20.083 .000 .346 6.00625 124.25625 9.50625 13.80625 97.65625 28.05625 0.00625 WithinFactor1 * BetweenFactor1 Sphericity Assumed 49.613 1 49.613 73.957 .000 .673 15.3125 0.0125 2.1125 40.6125 49.6125 0.1125 1.0125 Greenhouse-Geisser 74.888 39.000 1.920 F-ratio df effect Greenhouse-Geisser 49.613 1.000 49.613 74.591 .000 .662 MSs/A MSPs/A Greenhouse-Geisser 27.494 39.000 .705 MSPs MSQs MSPQs Greenhouse-Geisser 9.506 1.000 9.506 20.083 .000 .346 MSs/A MSPs/A MSQs/A MSPQs/A Greenhouse-Geisser 49.613 1.000 49.613 73.957 .000 .673 MSs/AB MSPs/AB Huynh-Feldt 74.888 39.000 1.920 21.15022534 1 Huynh-Feldt 49.613 1.000 49.613 74.591 .000 .662 0.628289474 0.665131579 Huynh-Feldt 27.494 39.000 .705 0.704967949 3.254967949 0.607532051 Huynh-Feldt 9.506 1.000 9.506 20.083 .000 .346 0.565460526 0.473355263 0.770723684 0.623355263 Huynh-Feldt 49.613 1.000 49.613 73.957 .000 .673 0.604166667 0.670833333 Lower-bound 74.888 39.000 1.920 ηG² N Lower-bound 49.613 1.000 49.613 74.591 .000 .662 dfA dfP dfPA Lower-bound 27.494 39.000 .705 F-ratio F-ratio F-ratio Lower-bound 9.506 1.000 9.506 20.083 .000 .346 F-ratio F-ratio F-ratio F-ratio F-ratio F-ratio F-ratio Lower-bound 49.613 1.000 49.613 73.957 .000 .673 F-ratio F-ratio F-ratio F-ratio F-ratio F-ratio F-ratio 0.26255 40 Error(WithinFactor1) Sphericity Assumed 25.275 38 .665 1 1 1 WithinFactor2 Sphericity Assumed 13.806 1 13.806 4.242 .046 .098 176.2580132 4.241593225 46.18069111 Error(WithinFactor1) Sphericity Assumed 17.988 38 .473 10.62187318 262.5010424 20.08269632 17.91335894 126.707213 45.00844327 0.010026385 WithinFactor1 * BetweenFactor2 Sphericity Assumed .113 1 .113 .168 .685 .005 25.34482759 0.020689655 3.496551724 60.54037267 73.95652174 0.167701863 1.50931677 Tests of Between-Subjects Effects ηp² ωp² Greenhouse-Geisser 25.275 38.000 .665 F-ratio F-ratio F-ratio Greenhouse-Geisser 13.806 1.000 13.806 4.242 .046 .098 ηG² ηG² ηG² Greenhouse-Geisser 17.988 38.000 .473 ηG² ηG² ηG² ηG² ηG² ηG² ηG² Greenhouse-Geisser .113 1.000 .113 .168 .685 .005 ηG² ηG² ηG² ηG² ηG² ηG² ηG² "Measure: MEASURE_1 Transformed Variable: Average" 0.35162 0.334998335 Huynh-Feldt 25.275 38.000 .665 24.37172775 61.05934718 74.59050445 Huynh-Feldt 13.806 1.000 13.806 4.242 .046 .098 0.37667 0.06292 0.12006 Huynh-Feldt 17.988 38.000 .473 0.0610 0.5734 0.0932 0.1299 0.1423 0.2328 0.0001 Huynh-Feldt .113 1.000 .113 .168 .685 .005 0.25015 0.00027 0.04400 0.46944 0.51943 0.00244 0.02158 Source Type III Sum of Squares df Mean Square F Sig. Partial Eta Squared η² ω² Lower-bound 25.275 38.000 .665 ηG² ηG² ηG² Lower-bound 13.806 1.000 13.806 4.242 .046 .098 ηp² ηp² ηp² Lower-bound 17.988 38.000 .473 ηp² ηp² ηp² ηp² ηp² ηp² ηp² Lower-bound .113 1.000 .113 .168 .685 .005 ηp² ηp² ηp² ηp² ηp² ηp² ηp² Intercept 2820.313 1 2820.313 2806.818 .000 .986 0.26255 0.248517787 0.23754 0.45244 0.50234 Error(WithinFactor2) Sphericity Assumed 126.944 39 3.255 0.81882 0.09809 0.54215 WithinFactor2 Sphericity Assumed 13.806 1 13.806 17.913 .000 .320 0.218458741 0.873544532 0.3457604 0.320377085 0.769287578 0.542215243 0.000263783 WithinFactor1 * BetweenFactor1 * BetweenFactor2 Sphericity Assumed 1.013 1 1.013 1.509 .227 .040 0.41315 0.00057 0.08853 0.62710 0.67260 0.00464 0.04024 Error 39.188 39 1.005 Tests of Between-Subjects Effects ηp² ηp² ηp² Greenhouse-Geisser 126.944 39.000 3.255 η² η² η² Greenhouse-Geisser 13.806 1.000 13.806 17.913 .000 .320 Greenhouse-Geisser 1.013 1.000 1.013 1.509 .227 .040 "Measure: MEASURE_1 Transformed Variable: Average" 0.39075 0.61639 0.66249 Huynh-Feldt 126.944 39.000 3.255 0.33425 0.03714 0.07547 Huynh-Feldt 13.806 1.000 13.806 17.913 .000 .320 Huynh-Feldt 1.013 1.000 1.013 1.509 .227 .040 Source Type III Sum of Squares df Mean Square F Sig. Partial Eta Squared η² η² η² Lower-bound 126.944 39.000 3.255 Lower-bound 13.806 1.000 13.806 17.913 .000 .320 Lower-bound 1.013 1.000 1.013 1.509 .227 .040 Intercept 2820.313 1 2820.313 4488.874 .000 .992 0.39075 0.35162 0.42955 WithinFactor1 * WithinFactor2 Sphericity Assumed 28.056 1 28.056 46.181 .000 .542 WithinFactor2 * BetweenFactor Sphericity Assumed 97.656 1 97.656 126.707 .000 .769 Error(WithinFactor1) Sphericity Assumed 24.150 36 .671 BetweenFactor 15.313 1 15.313 24.372 .000 .391 Greenhouse-Geisser 28.056 1.000 28.056 46.181 .000 .542 Greenhouse-Geisser 97.656 1.000 97.656 126.707 .000 .769 Greenhouse-Geisser 24.150 36.000 .671 Error 23.875 38 .628 Huynh-Feldt 28.056 1.000 28.056 46.181 .000 .542 Huynh-Feldt 97.656 1.000 97.656 126.707 .000 .769 Huynh-Feldt 24.150 36.000 .671 Lower-bound 28.056 1.000 28.056 46.181 .000 .542 Lower-bound 97.656 1.000 97.656 126.707 .000 .769 Lower-bound 24.150 36.000 .671 Error(WithinFactor1*WithinFactor2) Sphericity Assumed 23.694 39 .608 Error(WithinFactor2) Sphericity Assumed 29.288 38 .771 Greenhouse-Geisser 23.694 39.000 .608 Greenhouse-Geisser 29.288 38.000 .771 Tests of Between-Subjects Effects Huynh-Feldt 23.694 39.000 .608 Huynh-Feldt 29.288 38.000 .771 "Measure: MEASURE_1 Transformed Variable: Average" Lower-bound 23.694 39.000 .608 Lower-bound 29.288 38.000 .771 Source Type III Sum of Squares df Mean Square F Sig. Partial Eta Squared WithinFactor1 * WithinFactor2 Sphericity Assumed 28.056 1 28.056 45.008 .000 .542 Intercept 2820.313 1 2820.313 4668.103 .000 .992 Tests of Between-Subjects Effects Greenhouse-Geisser 28.056 1.000 28.056 45.008 .000 .542 BetweenFactor1 15.313 1 15.313 25.345 .000 .413 "Measure: MEASURE_1 Transformed Variable: Average" Huynh-Feldt 28.056 1.000 28.056 45.008 .000 .542 BetweenFactor2 .013 1 .013 .021 .886 .001 Source Type III Sum of Squares df Mean Square F Sig. Partial Eta Squared Lower-bound 28.056 1.000 28.056 45.008 .000 .542 BetweenFactor1 * BetweenFactor2 2.113 1 2.113 3.497 .070 .089 Intercept 7439.256 1 7439.256 10552.616 .000 .996 WithinFactor1 * WithinFactor2 * BetweenFactor Sphericity Assumed .006 1 .006 .010 .921 .000 Error 21.750 36 .604 Error 27.494 39 .705 Greenhouse-Geisser .006 1.000 .006 .010 .921 .000 Huynh-Feldt .006 1.000 .006 .010 .921 .000 Lower-bound .006 1.000 .006 .010 .921 .000 Error(WithinFactor1*WithinFactor2) Sphericity Assumed 23.688 38 .623 Greenhouse-Geisser 23.688 38.000 .623 Huynh-Feldt 23.688 38.000 .623 Lower-bound 23.688 38.000 .623 Tests of Between-Subjects Effects "Measure: MEASURE_1 Transformed Variable: Average" Source Type III Sum of Squares df Mean Square F Sig. Partial Eta Squared Intercept 7439.256 1 7439.256 13156.102 .000 .997 BetweenFactor 6.006 1 6.006 10.622 .002 .218 Error 21.488 38 .565