43 participants completed the study. We excluded 4 participants with low accuracy (< 70% correct) in the study phase and 2 with low accuracy in the test phase (hit - false alarm rate < 0). The final sample consisted of 10 women, 26 men, and one non-binary person. Mean age was 19 years (SD = 1).
For study phase:
| expName | n |
|---|---|
| V1_part1 | 9 |
| V2_part1 | 9 |
| V3_part1 | 10 |
| V4_part1 | 9 |
For test phase:
| expName | n |
|---|---|
| V1_part2 | 9 |
| V2_part2 | 9 |
| V3_part2 | 10 |
| V4_part2 | 9 |
In the study phase, participants completed a task switching procedure was administered.
As a filler task and to assess WMC, participants completed the letter-memory task.
In the test phase, a surprise recognition memory test assessed participant’s memory for stimuli presented in the study phase
Motivation measures: AATQ, BIS/BAS, Self-Control Scale (in random order)
| transition | M_rt | SD_rt | SE_rt | M_acc | SD_acc | SE_acc |
|---|---|---|---|---|---|---|
| repeat | 1219 | 324 | 27 | 0.913 | 0.13 | 0.011 |
| switch | 2177 | 579 | 48 | 0.909 | 0.13 | 0.011 |
plot accuracy
plot response times
T-test on accuracy:
##
## Paired t-test
##
## data: acc by transition
## t = 0.47016, df = 36, p-value = 0.6411
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
## -0.01306037 0.02094326
## sample estimates:
## mean of the differences
## 0.003941441
T-test on reaction times:
##
## Paired t-test
##
## data: rt by transition
## t = -17.186, df = 36, p-value < 2.2e-16
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
## -1070.7000 -844.6736
## sample estimates:
## mean of the differences
## -957.6868
The effects of task switching on performance (accuracy and reaction times) was replicated.
We analyze only the Picture Recognition test because emotionality was induced by having negative and neutral words and we do not want to have a confound of material. Pictures were always neutral and they were counterbalanced across conditions and participants (words not).
Overall the hit rate was 0.535 (SE = 0.024) and the false alarms rate was 0.109 (SE = 0.012).
The first step is to replicate the task switching x attention interaction on recognition performance
Means per condition:
## `summarise()` has grouped output by 'attention'. You can override using the
## `.groups` argument.
| attention | transition | m_acc | sd_acc | se_acc |
|---|---|---|---|---|
| target | repeat | 0.757 | 0.172 | 0.020 |
| target | switch | 0.697 | 0.239 | 0.028 |
| distractor | repeat | 0.301 | 0.173 | 0.020 |
| distractor | switch | 0.387 | 0.199 | 0.023 |
plot recognition performance
ANOVA results:
## Warning: Collapsing data to cell means. *IF* the requested effects are a subset
## of the full design, you must use the "within_full" argument, else results may be
## inaccurate.
|
The interaction between attention and transition is critical here. The significant interaction replicates previous studies and means that task switching reduces memory selectivity.
This can also be seen in the main effect of transition on memory selectivity (Hits Targets - Hits Distractors).
Plot memory selectivity
This plot shows that memory selectivity is higher for repeat vs. switch trials. This is the task switching effect on memory selectivity.
Next, we introduce the factor Emotional Load to check the main effect on memory selectivity and a potential interaction with Cognitive Load (transition)
Please remember that we are looking only at memory for pictures (which were paired either with a emotional word or neutral word)
Before running the analysis for the full design (attention x transition x emotionality) let’s first check the interaction of emotional load with attention on recognition performance (hits)
Emotionality denotes if the word (which was presented over the picture) was negative or neutral
Emotional load seems to have little impact on memory
Descriptively, the pattern goes in the opposite direction compared to the pattern of the online data.
Let’s run the analysis for the full design. Again first for recognition performance and then for memory selectivity (which is the same just for better understanding of the meaning I show both)
Cognitive Load effect:
For Targets memory is better for repeat than switch
for Distractors memory is better for switch than repeat
Emotional Load effect:
no apparent differences
|
For remember responses:
|
For know responses:
|
Memory selectivity
|
There is no significant interaction between cognitive load and emotional load.
The next steps would be to introduce the individual differences variables.
WMC was measured with the letter memory task.
pes = partial eta squared ges = general eta squared
## Warning: Numerical variables NOT centered on 0 (i.e., likely bogus results):
## d.propCorrect
| Effect | df | MSE | F | pes | p.value |
|---|---|---|---|---|---|
| d.propCorrect | 1, 35 | 0.10 | 0.19 | .005 | .668 |
| transition | 1, 35 | 0.03 | 1.16 | .032 | .290 |
| d.propCorrect:transition | 1, 35 | 0.03 | 5.19 * | .129 | .029 |
| emotionality | 1, 35 | 0.03 | 0.10 | .003 | .751 |
| d.propCorrect:emotionality | 1, 35 | 0.03 | 0.18 | .005 | .672 |
| transition:emotionality | 1, 35 | 0.02 | 0.03 | <.001 | .854 |
| d.propCorrect:transition:emotionality | 1, 35 | 0.02 | 0.03 | <.001 | .871 |
However, we need to center the variable on 0.
| Effect | df | MSE | F | pes | p.value |
|---|---|---|---|---|---|
| c.propCorrect | 1, 35 | 0.10 | 0.19 | .005 | .668 |
| transition | 1, 35 | 0.03 | 27.18 *** | .437 | <.001 |
| c.propCorrect:transition | 1, 35 | 0.03 | 5.19 * | .129 | .029 |
| emotionality | 1, 35 | 0.03 | 0.20 | .006 | .659 |
| c.propCorrect:emotionality | 1, 35 | 0.03 | 0.18 | .005 | .672 |
| transition:emotionality | 1, 35 | 0.02 | 2.46 | .066 | .126 |
| c.propCorrect:transition:emotionality | 1, 35 | 0.02 | 0.03 | <.001 | .871 |
For recognition performance:
| Effect | df | MSE | F | pes | p.value |
|---|---|---|---|---|---|
| c.propCorrect | 1, 35 | 0.17 | 0.34 | .010 | .566 |
| attention | 1, 35 | 0.05 | 207.55 *** | .856 | <.001 |
| c.propCorrect:attention | 1, 35 | 0.05 | 0.19 | .005 | .668 |
| transition | 1, 35 | 0.02 | 0.63 | .018 | .433 |
| c.propCorrect:transition | 1, 35 | 0.02 | 3.20 + | .084 | .082 |
| emotionality | 1, 35 | 0.02 | 0.00 | <.001 | .945 |
| c.propCorrect:emotionality | 1, 35 | 0.02 | 1.23 | .034 | .275 |
| attention:transition | 1, 35 | 0.01 | 27.18 *** | .437 | <.001 |
| c.propCorrect:attention:transition | 1, 35 | 0.01 | 5.19 * | .129 | .029 |
| attention:emotionality | 1, 35 | 0.02 | 0.20 | .006 | .659 |
| c.propCorrect:attention:emotionality | 1, 35 | 0.02 | 0.18 | .005 | .672 |
| transition:emotionality | 1, 35 | 0.01 | 0.62 | .017 | .437 |
| c.propCorrect:transition:emotionality | 1, 35 | 0.01 | 0.05 | .001 | .829 |
| attention:transition:emotionality | 1, 35 | 0.01 | 2.46 | .066 | .126 |
| c.propCorrect:attention:transition:emotionality | 1, 35 | 0.01 | 0.03 | <.001 | .871 |
3-way interaction (c.propCorrect x attention x transition) is not significant for remember and know
Centering with scale = FALSE (to indicate that we just want to subtract the mean)
| Effect | df | MSE | F | pes | p.value |
|---|---|---|---|---|---|
| c2.propCorrect | 1, 35 | 0.10 | 0.19 | .005 | .668 |
| transition | 1, 35 | 0.03 | 27.18 *** | .437 | <.001 |
| c2.propCorrect:transition | 1, 35 | 0.03 | 5.19 * | .129 | .029 |
| emotionality | 1, 35 | 0.03 | 0.20 | .006 | .659 |
| c2.propCorrect:emotionality | 1, 35 | 0.03 | 0.18 | .005 | .672 |
| transition:emotionality | 1, 35 | 0.02 | 2.46 | .066 | .126 |
| c2.propCorrect:transition:emotionality | 1, 35 | 0.02 | 0.03 | <.001 | .871 |
In all three analyses the interaction between transition and WMC was significant. However, the main effect of transition changes…why?
What’s the problem with the WMC variable??!!
Check distribution of the mean proportion of correctly remembered letters…
Histogram raw data
It’s strongly skewed.
For proportions we can use the Arcsine Transformation
Histogram transformed data
Here are the descriptives for the raw and transformed data
| N | M | SD | Min | Max | Skewness | Kurtosis | Measure |
|---|---|---|---|---|---|---|---|
| 37 | 0.83 | 0.19 | 0.33 | 1.00 | -1.02 | 3.01 | Proportion Correct |
| 37 | 1.24 | 0.30 | 0.62 | 1.57 | -0.32 | 1.89 | Proportion Correct (arcsine transformed) |
Even after the transformation the distribution does not look great (it seems more ordinal than continuous). It looks more like we have 3 groups.
For simplicity let’s use a median split for the analysis.
## [1] "Higher WMC" "Lower WMC"
| OverallMedianSplit | meanPropCorrect | n |
|---|---|---|
| Higher WMC | 0.9750000 | 20 |
| Lower WMC | 0.6666667 | 17 |
plot
## Warning: Data is unbalanced (unequal N per group). Make sure you specified a
## well-considered value for the type argument to ezANOVA().
|
## Warning: Data is unbalanced (unequal N per group). Make sure you specified a
## well-considered value for the type argument to ezANOVA().
|
With the median split analysis there is no sign. interaction between WMC and transition (result number 6).
high WMC group
## Warning: You have removed one or more Ss from the analysis. Refactoring
## "subject" for ANOVA.
|
lower WMC group
## Warning: You have removed one or more Ss from the analysis. Refactoring
## "subject" for ANOVA.
|
The task switching effect on memory selectivity is only significant in higher WMC group This is in line with the online data. The number of participants per group is more balanced than in the online data.