An experiment (Narayanan and Adorisio, 1983) to compare four methods for predicting the shear strength for steel plate girders. Data for nine girders in the form of the ratio of predicted to observed load for these procedures are given. Each of the four methods was used to predict the strength of each of the nine girders.
Format
A tibble with 36 rows and 3 variables
- girders
A factor denoting one of the nine girders
- method
A factor denoting one of the four methods for predicting the shear strength for steel plate girders: Aarau, Karlsruhe,Lehigh, Cardiff
- response
The shear strength for steel plate girders
Source
Wu, CF Jeff, and Michael S. Hamada. Experiments: planning, analysis, and optimization. John Wiley & Sons, 2011
Examples
lm(response ~ method + girders, data = girder_experiment) |>
anova()
#> Analysis of Variance Table
#>
#> Response: response
#> Df Sum Sq Mean Sq F value Pr(>F)
#> method 3 1.51381 0.50460 73.0267 3.296e-12 ***
#> girders 8 0.08949 0.01119 1.6189 0.1717
#> Residuals 24 0.16584 0.00691
#> ---
#> Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1