Introduction to Inferential Statistics

Eric Huerta

December 30, 2017

Box Plot

Subtitle 1

Anova

Subtitle 2

## Call:
##    aov(formula = model, data = CO2)
## 
## Terms:
##                     Type Treatment Residuals
## Sum of Squares  3365.534   988.114  5353.327
## Deg. of Freedom        1         1        81
## 
## Residual standard error: 8.129604
## Estimated effects may be unbalanced

Linear model

## 
## Call:
## lm(formula = model, data = CO2)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -23.373  -4.658   1.967   5.747  12.287 
## 
## Coefficients:
##                  Estimate Std. Error t value Pr(>|t|)    
## (Intercept)        36.973      1.536  24.065  < 2e-16 ***
## TypeMississippi   -12.660      1.774  -7.136 3.68e-10 ***
## Treatmentchilled   -6.860      1.774  -3.867 0.000222 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 8.13 on 81 degrees of freedom
## Multiple R-squared:  0.4485, Adjusted R-squared:  0.4349 
## F-statistic: 32.94 on 2 and 81 DF,  p-value: 3.407e-11

Slide with Bullets

Slide with R Output

summary(cars)
##      speed           dist       
##  Min.   : 4.0   Min.   :  2.00  
##  1st Qu.:12.0   1st Qu.: 26.00  
##  Median :15.0   Median : 36.00  
##  Mean   :15.4   Mean   : 42.98  
##  3rd Qu.:19.0   3rd Qu.: 56.00  
##  Max.   :25.0   Max.   :120.00

Slide with Plot

Slide with latex math

\[H_0:\mu_0=\mu_A\] ## Image on the web

Example

Example