Descriptive Statistical Analysis for “Examining Implicit Discretization in Spectral Schemes”

Mixed model

	Estimate	Std..Error	df	t.value	Pr…t..	p.z
(Intercept)	4.6903322	0.3928112	89.30448	11.9404247	0.0000000	0.0000000
colorDMdefault	1.3214286	0.2543688	1275.00000	5.1949317	0.0000002	0.0000002
colorDMjet	2.3928571	0.2543688	1275.00000	9.4070385	0.0000000	0.0000000
colorDMkindlmann	1.7232143	0.2543688	1275.00000	6.7744718	0.0000000	0.0000000
dataDM1d	0.5000000	0.2543688	1275.00000	1.9656498	0.0495558	0.0493391
dataDM2d	-0.4107143	0.2543688	1275.00000	-1.6146409	0.1066359	0.1063885
wordingcategory	0.4803226	0.5283980	58.47657	0.9090166	0.3670727	0.3633413
responseplaced	-0.0161290	0.1395730	1275.00000	-0.1155598	0.9080196	0.9080014
colorDMdefault:dataDM1d	-0.3214286	0.3597318	1275.00000	-0.8935228	0.3717459	0.3715773
colorDMjet:dataDM1d	0.0357143	0.3597318	1275.00000	0.0992803	0.9209313	0.9209157
colorDMkindlmann:dataDM1d	0.2410714	0.3597318	1275.00000	0.6701421	0.5028886	0.5027672
colorDMdefault:dataDM2d	0.6607143	0.3597318	1275.00000	1.8366857	0.0664890	0.0662563
colorDMjet:dataDM2d	1.7232143	0.3597318	1275.00000	4.7902749	0.0000019	0.0000017
colorDMkindlmann:dataDM2d	1.2232143	0.3597318	1275.00000	3.4003506	0.0006938	0.0006730
wordingcategory:responseplaced	-0.3372043	0.2088937	1275.00000	-1.6142385	0.1067231	0.1064757

Main Effect Means

color	mean	sd
default	6.285714	1.736845
gray	4.851191	3.068647
jet	7.830357	2.749942
kindlmann	7.062500	2.981379

data	mean	sd
1d	6.669643	3.124954
2d	6.671875	3.048734
complex	6.180804	2.464220

Color*Data Plot

Post-hoc model Gray

	Estimate	Std..Error	df	t.value	Pr…t..	p.z
(Intercept)	5.0885177	0.5009083	74.89341	10.1585814	0.0000000	0.0000000
dataDM1d	0.5000000	0.2464653	276.00000	2.0286835	0.0434505	0.0424905
dataDM2d	-0.4107143	0.2464653	276.00000	-1.6664186	0.0967645	0.0956301
wordingcategory	-0.4516129	0.7188046	63.60882	-0.6282833	0.5320679	0.5298184
responseplaced	0.0215054	0.2704726	276.00000	0.0795104	0.9366843	0.9366267
wordingcategory:responseplaced	-0.3415054	0.4048063	276.00000	-0.8436267	0.3996086	0.3988781

data	mean	sd
1d	5.321429	3.513717
2d	4.410714	3.365307
complex	4.821429	2.080429

Post-hoc model Jet

	Estimate	Std..Error	df	t.value	Pr…t..	p.z
(Intercept)	6.8570469	0.4556459	65.41330	15.0490684	0.0000000	0.0000000
dataDM1d	0.5357143	0.1738325	276.00000	3.0817837	0.0022657	0.0020576
dataDM2d	1.3125000	0.1738325	276.00000	7.5503701	0.0000000	0.0000000
wordingcategory	0.9668817	0.6652000	59.31294	1.4535204	0.1513502	0.1460793
responseplaced	-0.1290323	0.1907650	276.00000	-0.6763939	0.4993570	0.4987906
wordingcategory:responseplaced	-0.0443011	0.2855109	276.00000	-0.1551642	0.8768052	0.8766918

data	mean	sd
1d	7.750000	3.053576
2d	8.526786	2.704550
complex	7.214286	2.303263

Post-hoc model Kindlmann

	Estimate	Std..Error	df	t.value	Pr…t..	p.z
(Intercept)	6.2778418	0.5102524	63.75403	12.3034057	0.0000000	0.0000000
dataDM1d	0.7410714	0.1815994	276.00000	4.0808036	0.0000588	0.0000449
dataDM2d	0.8125000	0.1815994	276.00000	4.4741340	0.0000112	0.0000077
wordingcategory	0.6443011	0.7473800	58.55172	0.8620796	0.3921608	0.3886437
responseplaced	0.2043011	0.1992884	276.00000	1.0251531	0.3061886	0.3052909
wordingcategory:responseplaced	-0.5509677	0.2982675	276.00000	-1.8472269	0.0657844	0.0647143

data	mean	sd
1d	7.285714	3.272679
2d	7.357143	2.737320
complex	6.544643	2.866043