Stack Height Analysis Among Training Shoes

Distribution of stack heights

`stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

Scale for fill is already present.
Adding another scale for fill, which will replace the existing scale.
`stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

`stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

Do people like shoes more with higher stack heights?

`geom_smooth()` using formula = 'y ~ x'

`geom_smooth()` using formula = 'y ~ x'
`geom_smooth()` using formula = 'y ~ x'

Warning: Removed 151 rows containing non-finite values (`stat_smooth()`).

`geom_smooth()` using formula = 'y ~ x'

Warning: Removed 151 rows containing non-finite values (`stat_smooth()`).

# A tibble: 3 × 5
  stack_height_heel_cat    avg_overall avg_comfort avg_cushioning avg_durability
  <chr>                          <dbl>       <dbl>          <dbl>          <dbl>
1 High Heel Stack Height …        8.76        8.78           9.12           7.86
2 Low Heel Stack Height (…        8.62        8.67           8.47           7.76
3 Medium Heel Stack Heigh…        8.54        8.62           8.68           7.95

Drawbacks of High Stack Heights?

`geom_smooth()` using formula = 'y ~ x'

`geom_smooth()` using formula = 'y ~ x'

Warning: Removed 151 rows containing non-finite values (`stat_smooth()`).

What Are The Most Popular High Stack Height Trainers?

      id year                                      name stack_height_heel_in_mm
1  12202 2023                          ASICS SUPERBLAST                      45
2  11952 2022                      HOKA ONE ONE Bondi 8                      43
3  12124 2023                    HOKA ONE ONE Clifton 9                      40
4  12279 2023                       ASICS GEL-Kayano 30                      40
5  12018 2022                        Saucony Triumph 20                      39
6  11944 2022 New Balance FuelCell SuperComp Trainer v1                      47
7  12099 2023                       ASICS GEL-Nimbus 25                      42
8  12326 2023                        Saucony Triumph 21                      39
9  11308 2020                      HOKA ONE ONE Bondi 7                      40
10 11961 2022                           Nike Zoom Fly 5                      42
   overall comfort cushioning durability
1     9.17    9.06       9.57       8.57
2     9.01    9.23       9.62       8.30
3     8.98    9.27       9.47       7.69
4     8.96    8.91       9.17       8.75
5     8.92    9.05       9.51       8.62
6     8.87    8.93       9.41       8.33
7     8.87    9.36       9.71       8.50
8     8.83    9.04       9.31       7.93
9     8.79    9.02       9.43       8.07
10    8.78    8.86       9.29       8.13

Quick Model-based Approach

Linear mixed model fit by REML ['lmerMod']
Formula: rating_overall ~ stack_height_heel_in_mm + weight_in_ounces +  
    (1 | shoe_id)
   Data: filter(reviewsAnalysis, trainer == TRUE)

REML criterion at convergence: 12540

Scaled residuals: 
    Min      1Q  Median      3Q     Max 
-5.7155 -0.4212  0.2040  0.5856  1.5290 

Random effects:
 Groups   Name        Variance Std.Dev.
 shoe_id  (Intercept) 0.07142  0.2673  
 Residual             1.69787  1.3030  
Number of obs: 3691, groups:  shoe_id, 253

Fixed effects:
                         Estimate Std. Error t value
(Intercept)              8.372180   0.298666  28.032
stack_height_heel_in_mm  0.014347   0.006085   2.358
weight_in_ounces        -0.038323   0.031917  -1.201

Correlation of Fixed Effects:
            (Intr) st____
stck_hgh___ -0.375       
weght_n_ncs -0.780 -0.279

Linear mixed model fit by REML ['lmerMod']
Formula: rating_comfort ~ stack_height_heel_in_mm + weight_in_ounces +  
    (1 | shoe_id)
   Data: filter(reviewsAnalysis, trainer == TRUE)

REML criterion at convergence: 13265.3

Scaled residuals: 
    Min      1Q  Median      3Q     Max 
-5.9450 -0.4429  0.2055  0.7958  1.6202 

Random effects:
 Groups   Name        Variance Std.Dev.
 shoe_id  (Intercept) 0.1158   0.3403  
 Residual             2.0549   1.4335  
Number of obs: 3691, groups:  shoe_id, 253

Fixed effects:
                         Estimate Std. Error t value
(Intercept)              8.347004   0.349358  23.892
stack_height_heel_in_mm  0.015812   0.007167   2.206
weight_in_ounces        -0.029581   0.037570  -0.787

Correlation of Fixed Effects:
            (Intr) st____
stck_hgh___ -0.367       
weght_n_ncs -0.778 -0.289

Linear mixed model fit by REML ['lmerMod']
Formula: rating_cushioning ~ stack_height_heel_in_mm + weight_in_ounces +  
    (1 | shoe_id)
   Data: filter(reviewsAnalysis, trainer == TRUE)

REML criterion at convergence: 7247

Scaled residuals: 
    Min      1Q  Median      3Q     Max 
-4.9069 -0.5038  0.1624  0.6959  1.8675 

Random effects:
 Groups   Name        Variance Std.Dev.
 shoe_id  (Intercept) 0.1925   0.4388  
 Residual             2.3622   1.5369  
Number of obs: 1932, groups:  shoe_id, 218

Fixed effects:
                        Estimate Std. Error t value
(Intercept)              5.28218    0.50567  10.446
stack_height_heel_in_mm  0.06611    0.01056   6.259
weight_in_ounces         0.10293    0.05774   1.783

Correlation of Fixed Effects:
            (Intr) st____
stck_hgh___ -0.322       
weght_n_ncs -0.755 -0.369

Linear mixed model fit by REML ['lmerMod']
Formula: rating_durability ~ stack_height_heel_in_mm + weight_in_ounces +  
    (1 | shoe_id)
   Data: filter(reviewsAnalysis, trainer == TRUE)

REML criterion at convergence: 14770.7

Scaled residuals: 
    Min      1Q  Median      3Q     Max 
-4.6076 -0.5705  0.0856  0.7676  1.8424 

Random effects:
 Groups   Name        Variance Std.Dev.
 shoe_id  (Intercept) 0.1498   0.3871  
 Residual             3.1006   1.7609  
Number of obs: 3691, groups:  shoe_id, 253

Fixed effects:
                        Estimate Std. Error t value
(Intercept)             5.138386   0.415151  12.377
stack_height_heel_in_mm 0.028440   0.008486   3.351
weight_in_ounces        0.203370   0.044498   4.570

Correlation of Fixed Effects:
            (Intr) st____
stck_hgh___ -0.371       
weght_n_ncs -0.779 -0.284