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Supplementary Materials to Spurgeon, Ward, Matthews & FarrellCan temporal grouping explain list length and output order effects in immediate memory tasks?
ResultsMean number of words recalled. Figure S1 shows the mean number of words
recalled on trials in which participants initiated their recall with a word from the most recent
group (or an equivalent serial position in the ungrouped conditions). Only IFR data is
presented here, given that in ISR, it was highly infrequent for participants to initiate their
recall with a word from the most recent group. The parameters for the simulations are
identical to those used in the main manuscript. Thus, Figure S1A shows the mean number of
words recalled (using FR scoring) on trials in which participants initiated their recall with a
word from the most recent group for the Grouped IFR and Ungrouped IFR conditions, and
Figure S1B shows the corresponding simulations.
---------------------------------------
--Insert Figure S1 about here--
----------------------------------------
Due to a large number of missing values, we were unable to perform statistical
analyses for this subset of trials. The important aspect to note from Figure S1 is that the mean
number of words recalled by participants increases gradually as list length increased.
The probability of first recall (P[FR]). The proportion of trials in which P(FR=Last
4) is shown in Figure 3 of the main manuscript, and the summary ANOVA table is
reproduced in Table S1. None of the main effects or interactions involving grouping were
significant, demonstrating that the grouping manipulation did not affect participants’
tendency to initiate recall with one of the last four list items.
---------------------------------------
--Insert Table S1 about here--
----------------------------------------
1
A series of 2 (task: IFR and ISR) x 2 (grouping: grouped and ungrouped) x n (serial
position: 1-n) mixed ANOVAs, where n is the list length on the P(FR) data at each list length
can be found in supplementary materials in Supplementary Appendix A1. Significant main
effects and interactions are shown in bold.
Analyses of serial position curves – all the data. Consider first the data
presented in Figure 5 and 6 of the main submission. A series of 2 (task: IFR and ISR) x 2
(grouping: grouped and ungrouped) x n (serial position: 1-n) mixed ANOVAs were
performed where n is the list length for both FR (found in Supplementary Appendix A2) and
relative SR (found in Supplementary Appendix A3) scoring. Significant main effects and
interactions are shown in bold.
Analyses of the serial position curves on those trials in which recall initiated
with serial position 1. The serial position curves for trials where recall was initiated with
the first word in the list were analysed. At each list length (LL), the data were subjected to
a 2 (task: IFR and ISR) x 2 (grouping: grouped and ungrouped) x n (serial position (SP): 1,
…,n) mixed ANOVA, where n is the list length. The data are shown in Figure S2 (FR
scoring) and Figure S3 (relative SR scoring).
---------------------------------------
--Insert Figures S2 and S3 about here--
----------------------------------------
The analyses were performed using both FR (found in Supplementary Appendix
A4) and relative SR (found in Supplementary Appendix A5) scoring. Significant main effects
and interactions are shown in bold.
Analyses of the serial position curves on those trials in which recall initiated with
one of the last four serial positions. The serial position curves for trials where recall was
2
initiated with one of the last four words in the list are shown in Figure S4 and were analysed
using FR scoring. At each list length (LL), the data were subjected to a 2 (task: IFR and ISR)
x 2 (grouping: grouped and ungrouped) x n (serial position (SP): 1,…,n) mixed ANOVA,
where n is the list length. The analyses were performed using both FR (found in
Supplementary Appendix A6). Significant main effects and interactions are shown in bold.
---------------------------------------
--Insert Figure S4 about here--
----------------------------------------
3
Supplementary Table
Table S1: The probability of first recall (P[FR]).
df MSE F η2p p
P(FR=Last 4)TaskGroupingLLTask x GroupingTask x LLGrouping x LLTask x Grouping x LL
1, 761, 7611, 8361, 7611, 83611, 83611, 836
.271
.271
.032
.271
.032
.032
.032
66.540.6061.611.1823.971.250.64
.467
.008
.448
.015
.240
.016
.008
<.001=.441<.001=.271<.001=.247=.795
4
Supplementary Figure Captions
Figure S1. The mean number of words recalled from lists of one to 12 words from the
IFR Grouped and IFR Ungrouped conditions for the subset of trials in which participants
initiated their recall with a word from the most recent group using FR scoring. The left-hand
panel shows the data (Figure S1A) and right-hand panel shows the Farrell (2012) model
simulations (Figure S1B).
Figure S2. The serial position curves for the subset of trials in which recall was initiated using
the first word in the list. The eight panels show the serial position curves using FR scoring.
The left-hand panels are the data from the IFR ungrouped condition (Figure S2A), the IFR
grouped condition (Figure S2C), the ISR ungrouped condition (Figure S2E) and the ISR
grouped condition (Figure S2G); and the right-hand panels are the model simulations from
the IFR ungrouped condition (Figure S2B), the IFR grouped condition (Figure S2D), the ISR
ungrouped condition (Figure S2F) and the ISR grouped condition (Figure S2H).
Figure S3. The serial position curves for the subset of trials in which recall was initiated using
the first word in the list. The eight panels show the serial position curves using relative SR
scoring. The left-hand panels are the data from the IFR ungrouped condition (Figure S3A),
the IFR grouped condition (Figure S3C), the ISR ungrouped condition (Figure S3E) and the
ISR grouped condition (Figure S3G); and the right-hand panels are the model simulations
from the IFR ungrouped condition (Figure S3B), the IFR grouped condition (Figure S3D),
the ISR ungrouped condition (Figure S3F) and the ISR grouped condition (Figure S3H).
Figure S4. The serial position curves for the subset of trials in which recall was initiated using
one of the last four words in the list. The eight panels show the serial position curves using
5
FR scoring. The left-hand panels are the data from the IFR ungrouped condition (Figure
S4A), the IFR grouped condition (Figure S4C), the ISR ungrouped condition (Figure S4E)
and the ISR grouped condition (Figure S4G); and the right-hand panels are the model
simulations from the IFR ungrouped condition (Figure S4B), the IFR grouped condition
(Figure S4D), the ISR ungrouped condition (Figure S4F) and the ISR grouped condition
(Figure S4H).
6
0.00
0.50
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1.50
2.00
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3.00
3.50
4.00
4.50
5.00
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6.00
1 2 3 4 5 6 7 8 9 10 11 12
Num
ber r
ecal
led
(FR
scor
ing)
List length
Data: IFRA
0.00
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1 2 3 4 5 6 7 8 9 10 11 12
Num
ber r
ecal
led
(FR
scor
ing)
List length
Model: IFRB
0.000.501.001.502.002.503.003.504.004.505.005.506.00
1 2 3 4 5 6 7 8 9 10 11 12
Num
ber r
ecal
led
(FR
scor
ing)
List length
Ungrouped Grouped
Figure S1.
7
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ortio
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ing)
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Data: IFR grouped
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ortio
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C
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Data: ISR grouped
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Model: IFR ungroupedB
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ortio
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Serial position
Model: ISR ungrouped
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Serial position
Model: ISR grouped
F
H
0.000.100.200.300.400.500.600.700.800.901.00
1 2 3 4 5 6 7 8 9 10 11 12
Prop
ortio
n co
rrec
t (FR
scor
ing)
Serial position
LL= 1 LL= 2 LL= 3 LL= 4 LL= 5 LL= 6 LL= 7 LL= 8 LL= 9 LL= 10 LL= 11 LL= 12
Figure S2.
8
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ortio
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t (R
elat
ive
SR sc
orin
g)
Serial position
Data: IFR grouped
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ortio
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elat
ive
SR sc
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Serial position
Data: IFR ungroupedA
C
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ortio
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ve S
R sc
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g)
Serial position
Data: ISR ungrouped
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elat
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Serial position
Data: ISR grouped
E
G
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ortio
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elat
ove
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Serial position
Model: IFR grouped
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ortio
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elat
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SR sc
orin
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Serial position
Model: IFR ungroupedB
D
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elat
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SR sc
orin
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Serial position
Model: ISR ungrouped
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elat
ive
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orin
g)
Serial position
Model: ISR grouped
F
H
0.000.100.200.300.400.500.600.700.800.901.00
1 2 3 4 5 6 7 8 9 10 11 12
Prop
ortio
n co
rrec
t (FR
scor
ing)
Serial position
LL= 1 LL= 2 LL= 3 LL= 4 LL= 5 LL= 6 LL= 7 LL= 8 LL= 9 LL= 10 LL= 11 LL= 12
Figure S3.
9
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n-11 n-10 n-9 n-8 n-7 n-6 n-5 n-4 n-3 n-2 n-1 n
Prop
ortio
n co
rrec
t (FR
scor
ing)
Serial position
Data: IFR ungroupedA
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Prop
ortio
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rrec
t (FR
scor
ing)
Serial position
Model: IFR ungroupedB
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ortio
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t (FR
scor
ing)
Serial position
Data: IFR groupedC
0.00
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Prop
ortio
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ing)
Serial position
Model: IFR groupedD
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Prop
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Serial position
Data: ISR ungroupedE
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ing)
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Model: ISR ungroupedF
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ortio
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Data: ISR groupedG
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ortio
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t (FR
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ing)
Serial position
Model: ISR groupedH
0.000.100.200.300.400.500.600.700.800.901.00
n-11 n-10 n-9 n-8 n-7 n-6 n-5 n-4 n-3 n-2 n-1 n
Prop
ortio
n co
rrec
t (FR
scor
ing)
Serial position
LL= 2 LL= 3 LL= 4 LL= 5 LL= 6 LL= 7 LL= 8 LL= 9 LL= 10 LL= 11 LL= 12
Figure S4.
10
Supplementary Appendix Captions
Supplementary Appendix A1. Analyses of the P(FR) curves. At each list length (LL) the data
were subjected to a 2 (task: IFR and ISR) x 2 (grouping: grouped and
ungrouped) x n (SP: 1,…,n) mixed ANOVA, where n is the LL. Significant
main effects and interactions are shown in bold.
Supplementary Appendix A2. Analyses of the serial position curves using FR scoring. At
each list length (LL), the data were subjected to a 2 (task: IFR and ISR) x 2
(grouping: grouped and ungrouped) x n (serial position (SP): 1,…,n) mixed
ANOVA, where n is the list length. Significant main effects and interactions
are shown in bold.
Supplementary Appendix A3. Analyses of the serial position curves using relative SR scoring.
At each list length (LL), the data were subjected to a 2 (task: IFR and ISR) x 2
(grouping: grouped and ungrouped) x n (serial position (SP): 1,…,n) mixed
ANOVA, where n is the list length. Significant main effects and interactions
are shown in bold.
Supplementary Appendix A4. Analyses of the serial position curves for trials where recall was
initiated with the first word in the list using FR scoring. At each list length
(LL), the data were subjected to a 2 (task: IFR and ISR) x 2 (grouping:
grouped and ungrouped) x n (serial position (SP): 1,…,n) mixed ANOVA,
where n is the list length. Significant main effects and interactions are shown
in bold.
Supplementary Appendix A5. Analyses of the serial position curves for trials where recall was
initiated with the first word in the list using relative SR scoring. At each list
length (LL), the data were subjected to a 2 (task: IFR and ISR) x 2 (grouping:
11
grouped and ungrouped) x n (serial position (SP): 1,…,n) mixed ANOVA,
where n is the list length. Significant main effects and interactions are shown
in bold.
Supplementary Appendix A6. Analyses of the serial position curves for trials where recall was
initiated with one of the last four words in the list using FR scoring. At each
list length (LL), the data were subjected to a 2 (task: IFR and ISR) x 2
(grouping: grouped and ungrouped) x n (serial position (SP): 1,…,n) mixed
ANOVA, where n is the list length. Significant main effects and interactions
are shown in bold.
12
Supplementary Appendix A1.
Task Grouping SP Task x Grouping Task x SP Grouping x SP Task x Grouping x SPLL 2 F(1,76) = 0.00,
MSE = .001,p = 1, η2
p < .001
F(1,76) = 0.00,MSE = .001,
p = 1, η2p < .001
F(1,76) = 12482.00,MSE = .003,
p < .001, η2p = .994
F(1,76) = 0.00,MSE = .001,
p = 1, η2p < .001
F(1,76) = 0.00,MSE = .003,
p = 1, η2p < .001
F(1,76) = 0.00,MSE = .003,
p = 1, η2p < .001
F(1,76) = 2.00,MSE = .003,
p = .161, η2p = .026
LL 3 F(1,76) = 0.35,MSE = .000,
p = .558, η2p = .005
F(1,76) = 3.11,MSE = .000,
p = .082, η2p = .039
F(2,152) = 4306.22,MSE = .006,
p < .001, η2p = .983
F(1,76) = 0.35,MSE = .000,
p = .558, η2p = .005
F(2,152) = 1.16,MSE = .006,
p = .317, η2p = .015
F(2,152) = 0.56,MSE = .006,
p = .575, η2p = .007
F(2,152) = 0.19,MSE = .006,
p = .831, η2p = .002
LL 4 F(1,76) = 1.09,MSE = .001,
p = .301, η2p = .014
F(1,76) = 1.09,MSE = .001,
p = .301, η2p = .014
F(3,228) = 488.89,MSE = .028,
p < .001, η2p = .865
F(1,76) = 4.34,MSE = .001,
p = .041, η2p = .054
F(3,228) = 6.16,MSE = .028,
p < .001, η2p = .075
F(3,228) = 0.69,MSE = .028,
p = .557, η2p = .009
F(3,228) = 2.55,MSE = .028,
p = .057, η2p = .032
LL 5 F(1,76) = 0.33,MSE = .000,
p = .565, η2p = .004
F(1,76) = 0.33,MSE = .000,
p = .565, η2p = .004
F(4,304) = 281.37,MSE = .033,
p < .001, η2p = .787
F(1,76) = 0.33,MSE = .000,
p = .565, η2p = .004
F(4,304) = 13.17,MSE = .033,
p < .001, η2p = .148
F(4,304) = 2.01,MSE = .033,
p = .094, η2p = .026
F(4,304) = 3.39,MSE = .033,
p = .010, η2p = .043
LL 6 F(1,76) = 0.06,MSE = .001,
p = .800, η2p = .001
F(1,76) = 0.58,MSE = .001,
p = .449, η2p = .008
F(5,380) = 204.20,MSE = .028,
p < .001, η2p = .729
F(1,76) = 0.06,MSE = .001,
p = .800, η2p = .001
F(5,380) = 17.12,MSE = .028,
p < .001, η2p = .184
F(5,380) = 2.11,MSE = .028,
p = .064, η2p = .027
F(5,380) = 2.65,MSE = .028,
p = .023, η2p = .034
LL 7 F(1,76) = 6.33,MSE = .001,
p = .014, η2p = .077
F(1,76) = 0.13,MSE = .001,
p = .720, η2p = .002
F(6,456) = 82.17,MSE = .036,
p < .001, η2p = .519
F(1,76) = 0.13,MSE = .001,
p = .720, η2p = .002
F(6,456) = 15.33,MSE = .036,
p < .001, η2p = .168
F(6,456) = 2.08,MSE = .036,
p = .054, η2p = .027
F(6,456) = 1.38,MSE = .036,
p = .220, η2p = .018
LL 8 F(1,76) = 0.54,MSE = .001,
p = .467, η2p = .007
F(1,76) = 0.00,MSE = .001,
p = .1, η2p < .001
F(7,532) = 54.18,MSE = .035,
p < .001, η2p = .416
F(1,76) = 0.54,MSE = .001,
p = .467, η2p = .007
F(7,532) = 15.71,MSE = .035,
p < .001, η2p = .171
F(7,532) = 3.06,MSE = .035,
p = .004, η2p = .039
F(7,532) = 2.32,MSE = .035,
p = .025, η2p = .030
LL 9 F(1,76) = 0.86,MSE = .000,
p = .357, η2p = .011
F(1,76) = 0.00,MSE = .000,
p = 1, η2p < .001
F(8,608) = 74.87,MSE = .020,
p < .001, η2p = .496
F(1,76) = 0.22,MSE = .000,
p = .644, η2p = .003
F(8,608) = 34.93,MSE = .020,
p < .001, η2p = .315
F(8,608) = 8.09,MSE = .020,
p < .001, η2p = .096
F(8,608) = 4.80,MSE = .020,
p < .001, η2p = .059
LL 10 F(1,76) = 2.20,MSE = .001,
p = .142, η2p = .028
F(1,76) = 0.55,MSE = .001,
p = .460, η2p = .007
F(9,684) = 39.61MSE = .027,
p < .001, η2p = .343
F(1,76) = 0.55,MSE = .001,
p = .460, η2p = .007
F(9,684) = 24.34,MSE = .027,
p < .001, η2p = .243
F(9,684) = 2.61,MSE = .027,
p = .006, η2p = .033
F(9,684) = 1.18,MSE = .027,
p = .303, η2p = .015
LL 11 F(1,76) = 5.20,MSE = .001,
p = .025, η2p = .064
F(1,76) = 1.30,MSE = .001,
p = .258, η2p = .029
F(10,760) = 34.97,MSE = .024,
p < .001, η2p = .315
F(1,76) = 0.33,MSE = .001,
p = .570, η2p = .004
F(10,760) = 19.64,MSE = .024,
p < .001, η2p = .205
F(10,760) = 7.28,MSE = .024,
p < .001, η2p = .087
F(10,760) = 5.41,MSE = .024,
p < .001, η2p = .066
LL 12 F(1,76) = 4.14,MSE = .000,
p = .045, η2p = .052
F(1,76) = 0.31,MSE = .000,
p = .580, η2p = .004
F(11,836) = 42.73,MSE = .015,
p < .001, η2p = .360
F(1,76) = 0.31,MSE = .000,
p = .580, η2p = .004
F(11,836) = 26.23,MSE = .015,
p < .001, η2p = .257
F(11,836) = 9.91,MSE = .015,
p < .001, η2p = .115
F(11,836) = 7.17,MSE = .015,
p < .001, η2p = .086
13
Supplementary Appendix A2.
Task Grouping SP Task x Grouping Task x SP Grouping x SP Task x Grouping x SPLL 2 F(1,76) = 2.00,
MSE = .001,p = .161, η2
p = .026
F(1,76) = 0.00,MSE = .001,
p = 1, η2p < .001
F(1,76) = 0.00,MSE = .001,
p = 1, η2p < .001
F(1,76) = 0.00,MSE = .001,
p = 1, η2p < .001
F(1,76) = 0.00,MSE = .001,
p = 1, η2p < .001
F(1,76) = 2.00,MSE = .001,
p = .161, η2p = .026
F(1,76) = 2.00,MSE = .001,
p = .161, η2p = .026
LL 3 F(1,76) = 0.55,MSE = .003,
p = .461, η2p = .007
F(1,76) = 2.70,MSE = .003,
p = .105, η2p = .034
F(2,152) = 0.74,MSE = .002,
p = .479, η2p = .010
F(1,76) = 0.02,MSE = .003,
p = .894, η2p < .001
F(2,152) = 0.25,MSE = .002,
p = .782, η2p = .003
F(2,152) = 1.71,MSE = .002,
p = .184, η2p = .022
F(2,152) = 1.42,MSE = .002,
p = .245, η2p = .018
LL 4 F(1,76) = 2.11,MSE = .030,
p = .150, η2p = .027
F(1,76) = 1.28,MSE = .030,
p = .262, η2p = .017
F(3,228) = 0.59,MSE = .017,
p = .620, η2p = .008
F(1,76) = 5.11,MSE = .030,
p = .027, η2p = .063
F(3,228) = 0.33,MSE = .017,
p = .806, η2p = .004
F(3,228) = 1.26,MSE = .017,
p = .288, η2p = .016
F(3,228) = 0.41,MSE = .017,
p = .749, η2p = .005
LL 5 F(1,76) = 0.17,MSE = .077,
p = .686, η2p = .002
F(1,76) = 6.16,MSE = .077,
p = .015, η2p = .075
F(4,304) = 7.84,MSE = .031,
p < .001, η2p = .094
F(1,76) = 2.22,MSE = .077,
p = .141, η2p = .028
F(4,304) = 10.15,MSE = .031,
p < .001, η2p = .118
F(4,304) = 1.25,MSE = .031,
p = .289, η2p = .016
F(4,304) = 0.75,MSE = .031,
p = .561, η2p = .010
LL 6 F(1,76) = 0.10,MSE = .109,
p = .754, η2p = .001
F(1,76) = 3.80,MSE = .109,
p = .055, η2p = .048
F(5,380) = 18.84,MSE = .028,
p < .001, η2p = .199
F(1,76) = 0.83,MSE = .109,
p = .365, η2p = .011
F(5,380) = 5.68,MSE = .028,
p < .001, η2p = .070
F(5,380) = 2.21,MSE = .028,
p = .052, η2p = .028
F(5,380) = 0.64,MSE = .028,
p = .666, η2p = .008
LL 7 F(1,76) = 1.15,MSE = .119,
p = .287, η2p = .015
F(1,76) = 1.43,MSE = .119,
p = .236, η2p = .018
F(6,456) = 19.04,MSE = .062,
p < .001, η2p = .200
F(1,76) = 0.05,MSE = .119,
p = .831, η2p = .001
F(6,456) = 5.57,MSE = .062,
p < .001, η2p = .068
F(6,456) = 2.59,MSE = .062,
p = .018, η2p = .033
F(6,456) = 0.62,MSE = .062,
p = .718, η2p = .008
LL 8 F(1,76) = 1.93,MSE = .137,
p = .169, η2p = .025
F(1,76) = 1.51,MSE = .137,
p = .223, η2p = .020
F(7,532) = 27.49,MSE = .071,
p < .001, η2p = .484
F(1,76) = 0.93,MSE = .137,
p = .339, η2p = .012
F(7,532) = 3.92,MSE = .071,
p < .001, η2p = .137
F(7,532) = 1.27,MSE = .071,
p = .265, η2p = .016
F(7,532) = 0.28,MSE = .071,
p = .961, η2p = .004
LL 9 F(1,76) = 3.36,MSE = .099,
p = .071, η2p = .042
F(1,76) = 0.94,MSE = .099,
p = .335, η2p = .012
F(8,608) = 55.37,MSE = .040,
p < .001, η2p = .421
F(1,76) = 0.23,MSE = .099,
p = .634, η2p = .003
F(8,608) = 14.70,MSE = .040,
p < .001, η2p = .162
F(8,608) = 3.84,MSE = .040,
p < .001, η2p = .048
F(8,608) = 0.44,MSE = .040,
p = .896, η2p = .006
LL 10 F(1,76) = 3.38,MSE = .179,
p = .070, η2p = .043
F(1,76) = 0.02,MSE = .179,
p = .901, η2p < .001
F(9,684) = 36.76,MSE = .063,
p < .001, η2p = .326
F(1,76) = 0.00,MSE = .179,
p = .967, η2p < .001
F(9,684) = 6.36,MSE = .063,
p < .001, η2p = .077
F(9,684) = 1.03,MSE = .063,
p = .415, η2p = .013
F(9,684) = 0.44,MSE = .063,
p = .915, η2p = .006
LL 11 F(1,76) = 7.23,MSE = .130,
p = .007, η2p = .092
F(1,76) = 2.31,MSE = .130,
p = .133, η2p = .029
F(10,760) = 57.28,MSE = .059,
p < .001, η2p = .460
F(1,76) = 0.20,MSE = .130,
p = .658, η2p = .003
F(10,760) = 5.54,MSE = .059,
p < .001, η2p = .068
F(10,760) = 1.30,MSE = .059,
p = .226, η2p = .017
F(10,760) = 2.29,MSE = .059,
p = .012, η2p = .029
LL 12 F(1,76) = 5.15,MSE = .119,
p = .026, η2p = .063
F(1,76) = 2.94,MSE = .119,
p = .090, η2p = .314
F(11,836) = 87.01,MSE = .039,
p < .001, η2p = .534
F(1,76) = 0.63,MSE = .119,
p = .430, η2p = .008
F(11,836) = 6.41,MSE = .039,
p < .001, η2p = .078
F(11,836) = 3.62,MSE = .039,
p < .001, η2p = .046
F(11,836) = 0.29,MSE = .039,
p = .988, η2p = .004
14
Supplementary Appendix A3.
Task Grouping SP Task x Grouping Task x SP Grouping x SP Task x Grouping x SPLL 2 F(1,76) = 0.33,
MSE = .001,p = .565, η2
p = .004
F(1,76) = 0.33,MSE = .001,
p = .565, η2p = .004
F(1,76) = 0.33,MSE = .001,
p = .565, η2p = .004
F(1,76) = 0.33,MSE = .001,
p = .565, η2p = .004
F(1,76) = 0.33,MSE = .001,
p = .565, η2p = .004
F(1,76) = 0.33,MSE = .001,
p = .565, η2p = .004
F(1,76) = 3.00,MSE = .001,
p = .087, η2p = .038
LL 3 F(1,76) = 0.56,MSE = .006,
p = .458, η2p = .007
F(1,76) = 0.28,MSE = .006,
p = .596, η2p = .004
F(2,152) = 1.01,MSE = .003,
p = .366, η2p = .013
F(1,76) = 0.28,MSE = .006,
p = .596, η2p = .004
F(2,152) = 1.01,MSE = .003,
p = .366, η2p = .013
F(2,152) = 2.01,MSE = .003,
p = .138, η2p = .026
F(2,152) = 1.01,MSE = .003,
p = .366, η2p = .013
LL 4 F(1,76) = 1.74,MSE = .054,
p = .192, η2p = .022
F(1,76) = 0.52,MSE = .054,
p = .475, η2p = .007
F(3,228) = 4.27,MSE = .027,
p = .006, η2p = .053
F(1,76) = 5.18,MSE = .054,
p = .026, η2p = .064
F(3,228) = 2.74,MSE = .027,
p = .044, η2p = .035
F(3,228) = 0.63,MSE = .027,
p = .599, η2p = .008
F(3,228) = 0.28,MSE = .027,
p = .843, η2p = .004
LL 5 F(1,76) = 11.28,MSE = .117,
p = .001, η2p = .129
F(1,76) = 4.18,MSE = .117,
p = .044, η2p = .052
F(4,304) = 12.52,MSE = .047,
p < .001, η2p = .141
F(1,76) = 3.07,MSE = .117,
p = .084, η2p = .039
F(4,304) = 14.56,MSE = .047,
p < .001, η2p = .161
F(4,304) = 3.44,MSE = .047,
p = .009, η2p = .043
F(4,304) = 0.42,MSE = .047,
p = .795, η2p = .005
LL 6 F(1,76) = 10.63,MSE = .134,
p = .002, η2p = .123
F(1,76) = 5.26,MSE = .134,
p = .025, η2p = .065
F(5,380) = 32.40,MSE = .035,
p < .001, η2p = .299
F(1,76) = 0.74,MSE = .134,
p = .394, η2p = .010
F(5,380) = 14.16,MSE = .035,
p < .001, η2p = .157
F(5,380) = 5.11,MSE = .035,
p < .001, η2p = .063
F(5,380) = 1.13,MSE = .035,
p = .342, η2p = .015
LL 7 F(1,76) = 9.00,MSE = .176,
p = .004, η2p = .106
F(1,76) = 0.78,MSE = .176,
p = .380, η2p = .010
F(6,456) = 30.54,MSE = .066,
p < .001, η2p = .287
F(1,76) = 0.46,MSE = .176,
p = .498, η2p = .006
F(6,456) = 7.84,MSE = .066,
p < .001, η2p = .093
F(6,456) = 2.59,MSE = .066,
p = .018, η2p = .033
F(6,456) = 0.75,MSE = .066,
p = .607, η2p = .010
LL 8 F(1,76) = 11.85,MSE = .155,
p = .001, η2p = .135
F(1,76) = 1.06,MSE = .155,
p = .306, η2p = .014
F(7,532) = 38.18,MSE = .073,
p < .001, η2p = .334
F(1,76) = 0.23,MSE = .155,
p = .634, η2p = .003
F(7,532) = 5.59,MSE = .073,
p < .001, η2p = .069
F(7,532) = 1.34,MSE = .073,
p = .230, η2p = .017
F(7,532) = 0.36,MSE = .073,
p = .928, η2p = .005
LL 9 F(1,76) = 16.08,MSE = .101,
p < .001, η2p = .175
F(1,76) = 2.00,MSE = .101,
p = .162, η2p = .018
F(8,608) = 80.56,MSE = .038,
p < .001, η2p = .515
F(1,76) = 1.39,MSE = .101,
p = .242, η2p = .018
F(8,608) = 21.09,MSE = .038,
p < .001, η2p = .217
F(8,608) = 6.62,MSE = .038,
p < .001, η2p = .006
F(8,608) = 0.47,MSE = .038,
p = .875, η2p = .006
LL 10 F(1,76) = 10.09,MSE = .165,
p = .002, η2p = .117
F(1,76) = 0.02,MSE = .165,
p = .896, η2p < .001
F(9,684) = 53.86,MSE = .055,
p < .001, η2p = .415
F(1,76) = 0.01,MSE = .165,
p = .931, η2p < .001
F(9,684) = 10.07,MSE = .055,
p < .001, η2p = .117
F(9,684) = 0.83,MSE = .055,
p = .593, η2p = .011
F(9,684) = 0.91,MSE = .055,
p = .910, η2p = .006
LL 11 F(1,76) = 8.83,MSE = .128,
p = .004, η2p = .104
F(1,76) = 1.87,MSE = .128,
p = .175, η2p = .024
F(10,760) = 75.09,MSE = .054,
p < .001, η2p = .497
F(1,76) = 0.27,MSE = .128,
p = .605, η2p = .004
F(10,760) = 7.18,MSE = .054,
p < .001, η2p = .086
F(10,760) = 2.25,MSE = .054,
p = .014, η2p = .029
F(10,760) = 0.74,MSE = .054,
p = .687, η2p = .010
LL 12 F(1,76) = 13.13,MSE = .106,
p = .001, η2p = .147
F(1,76) = 6.13,MSE = .106,
p = .015, η2p = .075
F(11,836) = 117.64,MSE = .034,
p < .001, η2p = .608
F(1,76) = 0.07,MSE = .106,
p = .791, η2p = .001
F(11,836) = 10.27,MSE = .034,
p < .001, η2p = .119
F(11,836) = 4.99,MSE = .034,
p < .001, η2p = .062
F(11,836) = 0.63,MSE = .034,
p = .805, η2p = .008
15
Supplementary Appendix A4.
Task Grouping SP Task x Grouping Task x SP Grouping x SP Task x Grouping x SPLL 2 F(1,76) = 1.00,
MSE = .000,p = .210, η2
p = .013
F(1,76) = 1.00,MSE = .000,
p = .210, η2p = .013
F(1,76) = 1.00,MSE = .000,
p = .320, η2p = .013
F(1,76) = 1.00,MSE = .000,
p = .210, η2p = .013
F(1,76) = 1.00,MSE = .000,
p = .320, η2p = .013
F(1,76) = 1.00,MSE = .000,
p = .320, η2p = .013
F(1,76) = 1.00,MSE = .000,
p = .320, η2p = .013
LL 3 F(1,76) = 0.02,MSE = .002,
p = .886, η2p < .001
F(1,76) = 1.26,MSE = .002,
p = .266, η2p = .016
F(2,152) = 5.83,MSE = .002,
p = .004, η2p = .071
F(1,76) = 0.01,MSE = .002,
p = .932, η2p < .001
F(2,152) = 0.04,MSE = .002,
p = .964, η2p < .001
F(2,152) = 3.57,MSE = .002,
p = .031, η2p = .045
F(2,152) = 1.19,MSE = .002,
p = .306, η2p = .015
LL 4 F(1,76) = 2.26,MSE = .026,
p = .137, η2p = .029
F(1,76) = 0.34,MSE = .026,
p = .563, η2p = .004
F(3,228) = 4.90,MSE = .021,
p = .003, η2p = .061
F(1,76) = 2.46,MSE = .026,
p = .121, η2p = .031
F(3,228) = 0.35,MSE = .021,
p = .790, η2p = .005
F(3,228) = 1.65,MSE = .021,
p = .180, η2p = .021
F(3,228) = 0.59,MSE = .021,
p = .624, η2p = .008
LL 5 F(1,70) = 0.00,MSE = .073,
p = .984, η2p < .001
F(1,70) = 4.85,MSE = .073,
p = .031, η2p = .065
F(4,280) = 16.68,MSE = .036,
p < .001, η2p = .192
F(1,70) = 1.05,MSE = .073,
p = .308, η2p = .015
F(4,280) = 6.82,MSE = .036,
p < .001, η2p = .089
F(4,280) = 0.85,MSE = .036,
p = .495, η2p = .012
F(4,280) = 0.92,MSE = .036,
p = .456, η2p = .013
LL 6 F(1,71) = 0.03,MSE = .100,
p = .857, η2p < .001
F(1,71) = 2.05,MSE = .100,
p = .156, η2p = .028
F(5,355) = 32.41,MSE = .045,
p < .001, η2p = .313
F(1,71) = 2.17,MSE = .100,
p = .145, η2p = .030
F(5,355) = 2.52,MSE = .045,
p = .030, η2p = .034
F(5,355) = 0.65,MSE = .045,
p = .660, η2p = .009
F(5,355) = 1.17,MSE = .045,
p = .323, η2p = .016
LL 7 F(1,62) = 1.30,MSE = .143,
p = .258, η2p = .021
F(1,62) = 1.36,MSE = .143,
p = .248, η2p = .021
F(6,372) = 19.45,MSE = .097,
p < .001, η2p = .239
F(1,62) = 0.07,MSE = .143,
p = .791, η2p = .001
F(6,372) = 2.90,MSE = .097,
p = .009, η2p = .239
F(6,372) = 2.54,MSE = .097,
p = .020, η2p = .039
F(6,372) = 0.29,MSE = .097,
p = .940, η2p = .005
LL 8 F(1,55) = 0.29,MSE = .178,
p = .591, η2p = .005
F(1,55) = 0.25,MSE = .178,
p = .621, η2p = .004
F(7,385) = 29.86,MSE = .096,
p < .001, η2p = .352
F(1,55) = 0.49,MSE = .178,
p = .488, η2p = .009
F(7,385) = 0.56,MSE = .096,
p = .791, η2p = .010
F(7,385) = 0.81,MSE = .096,
p = .576, η2p = .015
F(7,385) = 2.04,MSE = .096,
p = .050, η2p = .036
LL 9 F(1,61) = 4.03,MSE = .163,
p = .049, η2p = .062
F(1,61) = 3.64,MSE = .163,
p = .061, η2p = .056
F(8,488) = 43.97,MSE = .070,
p < .001, η2p = .419
F(1,61) = 0.27,MSE = .163,
p = .604, η2p = .004
F(8,488) = 1.43,MSE = .070,
p = .182, η2p = .023
F(8,488) = 2.51,MSE = .070,
p = .011, η2p = .040
F(8,488) = 1.49,MSE = .070,
p = .157, η2p = .024
LL 10 F(1,52) = 0.03,MSE = .222,
p = .863, η2p = .001
F(1,52) = 0.12,MSE = .222,
p = .735, η2p = .002
F(9,468) = 20.82,MSE = .119,
p < .001, η2p = .286
F(1,52) = 0.01,MSE = .222,
p = .932, η2p < .001
F(9,468) = 1.93,MSE = .119,
p = .046, η2p = .036
F(9,468) = 1.47,MSE = .119,
p = .157, η2p = .027
F(9,468) = 0.56,MSE = .119,
p = .831, η2p = .011
LL 11 F(1,50) = 2.24,MSE = .209,
p = .141, η2p = .043
F(1,50) = 0.01,MSE = .209,
p = .926, η2p < .001
F(10,500) = 31.66,MSE = .099,
p < .001, η2p = .388
F(1,50) = 0.08,MSE = .209,
p = .783, η2p = .002
F(10,500) = 1.21,MSE = .099,
p = .280, η2p = .024
F(10,500) = 2.11,MSE = .099,
p = .022, η2p = .041
F(10,500) = 2.64,MSE = .099,
p = .004, η2p = .050
LL 12 F(1,51) = 3.94,MSE = .162,
p = .053, η2p = .072
F(1,51) = 3.84,MSE = .162,
p = .056, η2p = .070
F(11,561) = 35.42,MSE = .084,
p < .001, η2p = .410
F(1,51) = 0.00,MSE = .162,
p = .969, η2p < .001
F(11,561) = 1.39,MSE = .084,
p = .175, η2p = .026
F(11,561) = 0.87,MSE = .084,
p = .569, η2p = .017
F(11,561) = 1.59,MSE = .084,
p = .097, η2p = .030
16
Supplementary Appendix A5.
Task Grouping SP Task x Grouping Task x SP Grouping x SP Task x Grouping x SPLL 2 F(1,76) = 1.00,
MSE = .000,p = .320, η2
p = .013
F(1,76) = 1.00,MSE = .000,
p = .320, η2p = .013
F(1,76) = 1.00,MSE = .000,
p = .320, η2p = .013
F(1,76) = 1.00,MSE = .000,
p = .320, η2p = .013
F(1,76) = 1.00,MSE = .000,
p = .320, η2p = .013
F(1,76) = 1.00,MSE = .000,
p = .320, η2p = .013
F(1,76) = 1.00,MSE = .000,
p = .320, η2p = .013
LL 3 F(1,76) = 0.01,MSE = .002,
p = .915, η2p < .001
F(1,76) = 1.33,MSE = .002,
p = .253, η2p = .017
F(2,152) = 6.09,MSE = .002,
p = .003, η2p = .075
F(1,76) = 0.22,MSE = .002,
p = .638, η2p = .003
F(2,152) = 0.04,MSE = .002,
p = .960, η2p = .001
F(2,152) = 3.26,MSE = .002,
p = .041, η2p = .041
F(2,152) = 1.99,MSE = .002,
p = .140, η2p = .026
LL 4 F(1,76) = 0.84,MSE = .028,
p = .362, η2p = .011
F(1,76) = 0.84,MSE = .028,
p = .362, η2p = .011
F(3,228) = 8.81,MSE = .025,
p < .001, η2p = .104
F(1,76) = 2.69,MSE = .028,
p = .105, η2p = .034
F(3,228) = 0.11,MSE = .025,
p = .995, η2p = .001
F(3,228) = 1.41,MSE = .025,
p = .241, η2p = .018
F(3,228) = 0.62,MSE = .025,
p = .601, η2p = .008
LL 5 F(1,70) = 2.48,MSE = .086,
p = .120, η2p = .034
F(1,70) = 9.19,MSE = .086,
p = .003, η2p = .116
F(4,280) = 25.66,MSE = .045,
p < .001, η2p = .268
F(1,70) = 0.51,MSE = .086,
p = .478, η2p = .007
F(4,280) = 7.26,MSE = .045,
p < .001, η2p = .094
F(4,280) = 2.38,MSE = .045,
p = .052, η2p = .033
F(4,280) = 0.53,MSE = .045,
p = .714, η2p = .008
LL 6 F(1,71) = 2.57,MSE = .094,
p = .114, η2p = .035
F(1,71) = 7.18,MSE = .094,
p = .009, η2p = .092
F(5,355) = 44.38,MSE = .049,
p < .001, η2p = .385
F(1,71) = 0.57,MSE = .094,
p = .452, η2p = .008
F(5,355) = 4.42,MSE = .049,
p < .001, η2p = .385
F(5,355) = 2.44,MSE = .049,
p = .034, η2p = .033
F(5,355) = 1.11,MSE = .049,
p = .354, η2p = .015
LL 7 F(1,62) = 0.10,MSE = .177,
p = .757, η2p = .002
F(1,62) = 3.58,MSE = .117,
p = .063, η2p = .055
F(6,372) = 30.56,MSE = .094,
p < .001, η2p = .330
F(1,62) = 0.00,MSE = .177,
p = .996, η2p < .001
F(6,372) = 2.30,MSE = .094,
p = .034, η2p = .036
F(6,372) = 3.79,MSE = .094,
p = .001, η2p = .058
F(6,372) = 0.21,MSE = .094,
p = .974, η2p = .003
LL 8 F(1,55) = 0.51,MSE = .176,
p = .477, η2p = .009
F(1,55) = 0.18,MSE = .176,
p = .672, η2p = .003
F(7,385) = 36.35,MSE = .097,
p < .001, η2p = .398
F(1,55) = 0.09,MSE = .176,
p = .760, η2p = .002
F(7,385) = 0.93,MSE = .097,
p = .480, η2p = .017
F(7,385) = 0.75,MSE = .097,
p = .633, η2p = .013
F(7,385) = 2.05,MSE = .097,
p = .048, η2p = .036
LL 9 F(1,61) = 0.00,MSE = .132,
p = .955, η2p = .001
F(1,61) = 6.98,MSE = .132,
p = .010, η2p = .103
F(8,488) = 64.56,MSE = .063,
p < .001, η2p = .514
F(1,61) = 3.36,MSE = .132,
p = .072, η2p = .052
F(8,488) = 3.04,MSE = .063,
p = .002, η2p = .047
F(8,488) = 2.08,MSE = .063,
p = .037, η2p = .033
F(8,488) = 2.02,MSE = .063,
p = .042, η2p = .032
LL 10 F(1,52) = 1.25,MSE = .227,
p = .269, η2p = .023
F(1,52) = 0.10,MSE = .227,
p = .752, η2p = .002
F(9,468) = 29.79,MSE = .108,
p < .001, η2p = .360
F(1,52) = 0.19,MSE = .227,
p = .669, η2p = .003
F(9,468) = 2.13,MSE = .108,
p = .026, η2p = .039
F(9,468) = 0.85,MSE = .108,
p = .575, η2p = .016
F(9,468) = 1.22,MSE = .108,
p = .280, η2p = .023
LL 11 F(1,50) = 0.32,MSE = .188,
p = .575, η2p = .006
F(1,50) = 0.01,MSE = .188,
p = .905, η2p < .001
F(10,500) = 37.16,MSE = .098,
p < .001, η2p = .426
F(1,50) = 0.10,MSE = .188,
p = .753, η2p = .002
F(10,500) = 1.28,MSE = .098,
p = .236, η2p = .025
F(10,500) = 1.57,MSE = .098,
p = .113, η2p = .030
F(10,500) = 1.89,MSE = .098,
p = .045, η2p = .036
LL 12 F(1,51) = 0.19,MSE = .136,
p = .666, η2p = .004
F(1,51) = 6.56,MSE = .136,
p = .013, η2p = .114
F(11,561) = 50.00,MSE = .072,
p < .001, η2p = .495
F(1,51) = 0.25,MSE = .136,
p = .619, η2p = .005
F(11,561) = 0.86,MSE = .072,
p = .585, η2p = .016
F(11,561) = 1.31,MSE = .072,
p = .214, η2p = .025
F(11,561) = 1.04,MSE = .072,
p = .414, η2p = .020
17
Supplementary Appendix A6.
Task Grouping SP Task x Grouping Task x SP Grouping x SP Task x Grouping x SPLL 2 F(1,0) = 0.00,
MSE = .000,p = .1, η2
p = 1.00
F(1,0) = 0.00,MSE = .000,
p = .1, η2p = 1.00
F(1,0) = 0.00,MSE = .000,
p = .1, η2p = 1.00
F(1,0) = 0.00,MSE = .000,
p = .1, η2p = 1.00
F(1,0) = 0.00,MSE = .000,
p = .1, η2p = 1.00
F(1,0) = 0.00,MSE = .000,
p = .1, η2p = 1.00
F(1,0) = 0.00,MSE = .000,
p = .1, η2p = 1.00
LL 3 F(1,9) = 24.31,MSE = .062,
p = .001, η2p = .730
F(1,9) = 0.34,MSE = .062,
p = .576, η2p = .036
F(2,18) = 10.35,MSE = .067,
p = .001, η2p = .535
F(1,9) = 0.34,MSE = .062,
p = .576, η2p = .036
F(2,18) = 7.95,MSE = .067,
p = .003, η2p = .469
F(2,18) = 0.19,MSE = .067,
p = .828, η2p = .021
F(2,18) = 0.47,MSE = .067,
p = .633, η2p = .049
LL 4 F(1,19) = 0.75,MSE = .098,
p = .398, η2p = .038
F(1,19) = 0.22,MSE = .098,
p = .645, η2p = .011
F(3,57) = 18.60,MSE = .076,
p < .001, η2p = .495
F(1,19) = 1.39,MSE = .098,
p = .254, η2p = .068
F(3,57) = 4.52,MSE = .076,
p = .007, η2p = .192
F(3,57) = 0.74,MSE = .076,
p = .532, η2p = .038
F(3,57) = 2.89,MSE = .076,
p = .043, η2p = .132
LL 5 F(1,27) = 7.71,MSE = .123,
p = .010, η2p = .222
F(1,27) = 2.67,MSE = .123,
p = .114, η2p = .090
F(4,108) = 9.21,MSE = .106,
p < .001, η2p = .254
F(1,27) = 1.42,MSE = .123,
p = .244, η2p = .050
F(4,108) = 1.19,MSE = .106,
p = .321, η2p = .042
F(4,108) = 6.58,MSE = .106,
p < .001, η2p = .196
F(4,108) = 4.40,MSE = .106,
p = .002, η2p = .140
LL 6 F(1,49) = 16.27,MSE = .159,
p < .001, η2p = .249
F(1,49) = 0.53,MSE = .159,
p = .470, η2p = .011
F(5,245) = 29.58,MSE = .104,
p < .001, η2p = .376
F(1,49) = 0.46,MSE = .159,
p = .502, η2p = .009
F(5,245) = 1.72,MSE = .104,
p = .131, η2p = .034
F(5,245) = 0.73,MSE = .104,
p = .601, η2p = .015
F(5,245) = 1.90,MSE = .104,
p = .095, η2p = .037
LL 7 F(1,44) = 8.14,MSE = .164,
p = .007, η2p = .156
F(1,44) = 4.00,MSE = .164,
p = .052, η2p = .083
F(6,264) = 55.78,MSE = .084,
p < .001, η2p = .559
F(1,44) = 1.34,MSE = .164,
p = .254, η2p = .029
F(6,264) = 3.41,MSE = .084,
p = .003, η2p = .072
F(6,264) = 2.28,MSE = .084,
p = .037, η2p = .049
F(6,264) = 0.43,MSE = .084,
p = .858, η2p = .010
LL 8 F(1,47) = 32.13,MSE = .138,
p < .001, η2p = .406
F(1,47) = 0.29,MSE = .138,
p = .595, η2p = .006
F(7,329) = 53.11,MSE = .096,
p < .001, η2p = .531
F(1,47) = 0.10,MSE = .138,
p = .752, η2p = .002
F(7,329) = 2.10,MSE = .096,
p = .043, η2p = .043
F(7,532) = 0.69,MSE = .096,
p = .679, η2p = .015
F(7,329) = 0.99,MSE = .096,
p = .436, η2p = .021
LL 9 F(1,56) = 56.87,MSE = .090,
p < .001, η2p = .504
F(1,56) = 2.01,MSE = .090,
p = .162, η2p = .035
F(8,448) = 79.54,MSE = .066,
p < .001, η2p = .587
F(1,56) = 1.16,MSE = .090,
p = .287, η2p = .020
F(8,448) = 3.38,MSE = .066,
p = .001, η2p = .057
F(8,448) = 2.03,MSE = .066,
p = .042, η2p = .035
F(8,448) = 1.55,MSE = .066,
p = .137, η2p = .027
LL 10 F(1,52) = 17.54,MSE = .167,
p < .001, η2p = .252
F(1,52) = 0.79,MSE = .167,
p = .377, η2p = .015
F(9,468) = 60.42,MSE = .082,
p < .001, η2p = .537
F(1,52) = 0.06,MSE = .167,
p = .803, η2p = .001
F(9,468) = 3.50,MSE = .082,
p < .001, η2p = .063
F(9,468) = 0.96,MSE = .082,
p = .474, η2p = .018
F(9,468) = 0.61,MSE = .082,
p = .793, η2p = .012
LL 11 F(1,45) = 58.67,MSE = .094,
p < .001, η2p = .566
F(1,45) = 1.39,MSE = .094,
p = .245, η2p = .030
F(10,450) = 43.70,MSE = .075,
p < .001, η2p = .493
F(1,45) = 2.61,MSE = .094,
p = .113, η2p = .055
F(10,450) = 1.37,MSE = .075,
p = .190, η2p = .030
F(10,450) = 1.89,MSE = .075,
p = .044, η2p = .040
F(10,450) = 1.49,MSE = .075,
p = .139, η2p = .032
LL 12 F(1,60) = 57.13,MSE = .092,
p < .001, η2p = .488
F(1,60) = 0.07,MSE = .092,
p = .799, η2p = .001
F(11,660) = 131.20,MSE = .048,
p < .001, η2p = .686
F(1,60) = 0.59,MSE = .092,
p = .444, η2p = .010
F(11,660) = 6.55,MSE = .048,
p < .001, η2p = .098
F(11,660) = 1.58,MSE = .048,
p = .100, η2p = .026
F(11,660) = 1.20,MSE = .048,
p = .283, η2p = .020
18