Motivation

Note - The Independent conference was excluded due to only having one school

Seeing how the Big Ten average BPM increases without the four new teams, we question if these new schools fit into the Big Ten tradition of fast fight songs.

Do the new Big 10 schools fit into the Big 10 based on fight song?

Linear Regression

## 
## Call:
## lm(formula = bpm ~ school_group, data = bigten_data)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -64.214   0.000   1.786  10.786  38.786 
## 
## Coefficients:
##                        Estimate Std. Error t value Pr(>|t|)    
## (Intercept)            139.2143     7.5040  18.552 9.78e-11 ***
## school_groupOregon     -74.2143    29.0628  -2.554   0.0240 *  
## school_groupWashington  -0.2143    29.0628  -0.007   0.9942    
## school_groupUCLA       -67.2143    29.0628  -2.313   0.0378 *  
## school_groupUSC        -64.2143    29.0628  -2.210   0.0457 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 28.08 on 13 degrees of freedom
## Multiple R-squared:  0.5351, Adjusted R-squared:  0.392 
## F-statistic:  3.74 on 4 and 13 DF,  p-value: 0.03084

Based on linear regression, Oregon, UCLA, and USC have BPMs statistically different from the old Big Ten baseline, while Washington is similar, this is supported by the two graphs.

Since Washington is similar, we have removed it for Welch’s two-sample t-test

T-Test

## 
##  Welch Two Sample t-test
## 
## data:  bpm by new_big_ten
## t = 9.0317, df = 15.891, p-value = 1.175e-07
## alternative hypothesis: true difference in means between group 0 and group 1 is not equal to 0
## 95 percent confidence interval:
##  52.43821 84.62845
## sample estimates:
## mean in group 0 mean in group 1 
##       139.20000        70.66667

Using Welch’s two-sample t-test, we are 95% confident that the true difference in mean BPM between the old Big Ten and these three new schools (Oregon, USC, UCLA) is between 52.44 and 84.63, which does not include 0. Small sample size may influence results.

Based on both linear regression and Welch’s t-test, three of the four new Big Ten schools (Oregon, UCLA, USC) have BPMs significantly different from the old Big Ten average. Washington’s BPM is similar to the old Big Ten schools.

Therefore, using the metric of BPM in relation to school song, Washington was the best addition the Big 10, as they follow the tradition of having a fast school song. While there was evidence that the other 3 schools (Oregon, UCLA, USC) do not follow the tradition of an electric school song set by the older Big Ten Schools.