# A tibble: 10 × 7
year count mean_stack_height_heel_in_mm mean_lrc_grade_overall
<int> <int> <dbl> <dbl>
1 2014 25 26.9 8.54
2 2015 21 27.4 8.55
3 2016 30 27.7 8.58
4 2017 32 27.1 8.55
5 2018 52 28.2 8.64
6 2019 43 28.9 8.63
7 2020 14 32.8 8.65
8 2021 28 32.5 8.59
9 2022 64 34.6 8.63
10 2023 55 35.1 8.57
# ℹ 3 more variables: mean_lrc_grade_comfort <dbl>,
# mean_lrc_grade_cushioning <dbl>, mean_lrc_grade_durability <dbl>Stack Height Analysis Among Training Shoes
History
Distribution of stack heights
`stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
`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 221 rows containing non-finite values (`stat_smooth()`).
`geom_smooth()` using formula = 'y ~ x'Warning: Removed 221 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 … 8.73 8.77 9.12 7.89
2 Low Heel Stack Height (… 8.63 8.71 8.51 7.83
3 Medium Heel Stack Heigh… 8.58 8.69 8.78 8.02Drawbacks of High Stack Heights?
`geom_smooth()` using formula = 'y ~ x'
`geom_smooth()` using formula = 'y ~ x'Warning: Removed 221 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 11794 2021 Saucony Endorphin Speed 2 39
6 12018 2022 Saucony Triumph 20 39
7 11944 2022 New Balance FuelCell SuperComp Trainer v1 47
8 11364 2020 Nike Air Zoom Tempo NEXT% 46
9 12099 2023 ASICS GEL-Nimbus 25 42
10 12326 2023 Saucony Triumph 21 39
overall comfort cushioning durability
1 9.17 9.06 9.57 8.57
2 9.02 9.25 9.64 8.32
3 8.98 9.28 9.48 7.69
4 8.96 8.91 9.16 8.73
5 8.94 8.93 9.16 8.19
6 8.92 9.05 9.52 8.61
7 8.87 8.93 9.42 8.32
8 8.86 8.58 9.30 7.79
9 8.86 9.34 9.70 8.50
10 8.82 9.04 9.30 7.93Quick 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: 19463.2
Scaled residuals:
Min 1Q Median 3Q Max
-5.9297 -0.4377 0.2409 0.5649 1.5344
Random effects:
Groups Name Variance Std.Dev.
shoe_id (Intercept) 0.06949 0.2636
Residual 1.66316 1.2896
Number of obs: 5765, groups: shoe_id, 375
Fixed effects:
Estimate Std. Error t value
(Intercept) 8.522917 0.219329 38.859
stack_height_heel_in_mm 0.008895 0.004889 1.819
weight_in_ounces -0.032548 0.023665 -1.375
Correlation of Fixed Effects:
(Intr) st____
stck_hgh___ -0.396
weght_n_ncs -0.749 -0.301Linear 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: 20479.7
Scaled residuals:
Min 1Q Median 3Q Max
-6.1186 -0.4718 0.1835 0.7924 1.7606
Random effects:
Groups Name Variance Std.Dev.
shoe_id (Intercept) 0.1353 0.3678
Residual 1.9625 1.4009
Number of obs: 5765, groups: shoe_id, 375
Fixed effects:
Estimate Std. Error t value
(Intercept) 8.489325 0.266491 31.856
stack_height_heel_in_mm 0.006959 0.005993 1.161
weight_in_ounces -0.007962 0.028932 -0.275
Correlation of Fixed Effects:
(Intr) st____
stck_hgh___ -0.390
weght_n_ncs -0.746 -0.312Linear 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: 14176
Scaled residuals:
Min 1Q Median 3Q Max
-5.3339 -0.5088 0.1650 0.6951 1.9666
Random effects:
Groups Name Variance Std.Dev.
shoe_id (Intercept) 0.2719 0.5215
Residual 2.0332 1.4259
Number of obs: 3923, groups: shoe_id, 335
Fixed effects:
Estimate Std. Error t value
(Intercept) 6.323654 0.364113 17.367
stack_height_heel_in_mm 0.045668 0.008095 5.642
weight_in_ounces 0.083596 0.040994 2.039
Correlation of Fixed Effects:
(Intr) st____
stck_hgh___ -0.356
weght_n_ncs -0.746 -0.347Linear 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: 22768.9
Scaled residuals:
Min 1Q Median 3Q Max
-4.8140 -0.5718 0.0893 0.7526 1.8040
Random effects:
Groups Name Variance Std.Dev.
shoe_id (Intercept) 0.1468 0.3832
Residual 2.9414 1.7150
Number of obs: 5765, groups: shoe_id, 375
Fixed effects:
Estimate Std. Error t value
(Intercept) 5.75271 0.30279 18.999
stack_height_heel_in_mm 0.01982 0.00677 2.928
weight_in_ounces 0.17580 0.03274 5.370
Correlation of Fixed Effects:
(Intr) st____
stck_hgh___ -0.394
weght_n_ncs -0.748 -0.305