These analyses test whether item format affects participants’ subjective experiences of participating in personality surveys.

0.1 Enjoyment

First, we test whether participants enjoyed their experience as a function of format. The item participants rated was:

“Overall, I am enjoying responding to the present survey.”

mod_enjoy_1 = lm(enjoy_responding ~ format, data = enjoy_df)
car::Anova(mod_enjoy_1)
## Anova Table (Type II tests)
## 
## Response: enjoy_responding
##            Sum Sq  Df F value Pr(>F)
## format       5.21   3  1.6494 0.1764
## Residuals 1022.53 971

Participants did not vary in their enjoyment of the survey as a function of item format. See 1.

plot_model(mod_enjoy_1, type = "pred", show.data = T, jitter = T)$format +
  labs(x = NULL, 
       title = NULL,
       y = "Average enjoyment")
Predicted enjoyment by item format

Figure 1: Predicted enjoyment by item format

We also test whether this is a function of device type and the interaction of device type with format.

mod_enjoy_2 = lm(enjoy_responding ~ devicetype, data = enjoy_df)
car::Anova(mod_enjoy_2)
## Anova Table (Type II tests)
## 
## Response: enjoy_responding
##             Sum Sq  Df F value Pr(>F)
## devicetype    2.97   2  1.4074 0.2453
## Residuals  1024.77 972

Participants did not enjoy differently by device type.

mod_enjoy_3 = lm(enjoy_responding ~ format*devicetype, data = enjoy_df)
car::Anova(mod_enjoy_3, type = "3")
## Anova Table (Type III tests)
## 
## Response: enjoy_responding
##                   Sum Sq  Df   F value              Pr(>F)    
## (Intercept)       4228.5   1 4016.2580 <0.0000000000000002 ***
## format               5.5   3    1.7313              0.1589    
## devicetype           4.0   2    1.9136              0.1481    
## format:devicetype    5.6   6    0.8803              0.5087    
## Residuals         1013.9 963                                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

The relationship of item format to enjoyment did not vary as a function of device type.

0.2 Perception of survey design

Next, we test whether participants viewed the survey differently as a function of format. The item participants rated was:

“Overall, I think the present survey is well designed.”

mod_design_1 = lm(well_designed_study ~ format, data = enjoy_df)
car::Anova(mod_design_1)
## Anova Table (Type II tests)
## 
## Response: well_designed_study
##           Sum Sq  Df F value Pr(>F)
## format      2.88   3  1.2581 0.2875
## Residuals 741.65 971

Participants did not vary in their perception of the survey as a function of device type. See 2.

plot_model(mod_design_1, type = "pred", show.data = T, jitter = T)$format +
  labs(x = NULL, 
       y = "Average designment", 
       title = NULL)
Predicted design perception by item format

Figure 2: Predicted design perception by item format

We also test whether this is a function of device type and the interaction of devicetype with format.

mod_design_2 = lm(well_designed_study ~ devicetype, data = enjoy_df)
car::Anova(mod_design_2)
## Anova Table (Type II tests)
## 
## Response: well_designed_study
##            Sum Sq  Df F value  Pr(>F)  
## devicetype   4.73   2  3.1071 0.04518 *
## Residuals  739.81 972                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Participants did perceive the design of the study differently by format. We explore this more here:

emmeans(mod_design_2, pairwise~"devicetype", adjust = "none")
## $emmeans
##  devicetype                                                   emmean     SE  df
##  Desktop or laptop computer                                     5.20 0.0322 972
##  Mobile                                                         5.36 0.0615 972
##  Tablet (for example, iPad, Galaxy Tablet, Amazon Fire, etc.)   5.08 0.1415 972
##  lower.CL upper.CL
##      5.14     5.27
##      5.24     5.48
##      4.80     5.36
## 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast                                                                                 
##  Desktop or laptop computer - Mobile                                                      
##  Desktop or laptop computer - Tablet (for example, iPad, Galaxy Tablet, Amazon Fire, etc.)
##  Mobile - Tablet (for example, iPad, Galaxy Tablet, Amazon Fire, etc.)                    
##  estimate     SE  df t.ratio p.value
##    -0.156 0.0694 972  -2.243  0.0251
##     0.123 0.1451 972   0.851  0.3950
##     0.279 0.1543 972   1.810  0.0707
emmeans(mod_design_2, pairwise~"devicetype", adjust = "holm")
## $emmeans
##  devicetype                                                   emmean     SE  df
##  Desktop or laptop computer                                     5.20 0.0322 972
##  Mobile                                                         5.36 0.0615 972
##  Tablet (for example, iPad, Galaxy Tablet, Amazon Fire, etc.)   5.08 0.1415 972
##  lower.CL upper.CL
##      5.14     5.27
##      5.24     5.48
##      4.80     5.36
## 
## Confidence level used: 0.95 
## 
## $contrasts
##  contrast                                                                                 
##  Desktop or laptop computer - Mobile                                                      
##  Desktop or laptop computer - Tablet (for example, iPad, Galaxy Tablet, Amazon Fire, etc.)
##  Mobile - Tablet (for example, iPad, Galaxy Tablet, Amazon Fire, etc.)                    
##  estimate     SE  df t.ratio p.value
##    -0.156 0.0694 972  -2.243  0.0753
##     0.123 0.1451 972   0.851  0.3950
##     0.279 0.1543 972   1.810  0.1413
## 
## P value adjustment: holm method for 3 tests

Participants perceive the design to be better on mobile devices than on desktop or laptop computers; however, after correcting for multiple comparisons, this effect is no longer significant.

mod_design_3 = lm(well_designed_study ~ format*devicetype, data = enjoy_df)
car::Anova(mod_design_3, type = "3")
## Anova Table (Type III tests)
## 
## Response: well_designed_study
##                   Sum Sq  Df   F value              Pr(>F)    
## (Intercept)       4718.2   1 6182.4022 <0.0000000000000002 ***
## format               1.8   3    0.7901              0.4995    
## devicetype           0.9   2    0.5640              0.5691    
## format:devicetype    1.9   6    0.4124              0.8711    
## Residuals          734.9 963                                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

The relationship of item format to survey design enjoyment did not vary as a function of device type.