Figures from the Whitby data

Scatterplot

Scatterplot with fitted line

Scatterplot with fitted line and confidence bands

Regression

Barchart

Barchart with confidence intervals

Confidence intervals

Boxplot

Line graph

Multiple line graphs

Multiple line graphs with fitted trend

The data

Analysis

One way Anova

## Analysis of Variance Table
## 
## Response: Bee.diversity
##           Df  Sum Sq Mean Sq F value    Pr(>F)    
## Setting    2 106.921  53.460  182.74 < 2.2e-16 ***
## Residuals 49  14.335   0.293                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = d$Bee.diversity ~ d$Setting)
## 
## $`d$Setting`
##                       diff       lwr       upr p adj
## Semi-rural-Rural -1.618056 -2.124358 -1.111753     0
## Urban-Rural      -3.344444 -3.771396 -2.917493     0
## Urban-Semi-rural -1.726389 -2.185486 -1.267292     0

## Analysis of Variance Table
## 
## Response: Butterfly.diversity
##           Df Sum Sq Mean Sq F value    Pr(>F)    
## Setting    2 331.13 165.565  231.65 < 2.2e-16 ***
## Residuals 49  35.02   0.715                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = d$Butterfly.diversity ~ d$Setting)
## 
## $`d$Setting`
##                       diff       lwr       upr p adj
## Semi-rural-Rural -3.486111 -4.277470 -2.694752     0
## Urban-Rural      -5.938889 -6.606221 -5.271557     0
## Urban-Semi-rural -2.452778 -3.170354 -1.735202     0

Regression

## 
## Call:
## lm(formula = Butterfly.diversity ~ Bee.diversity, data = d)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -2.2001 -0.6716 -0.1235  0.5945  4.4315 
## 
## Coefficients:
##               Estimate Std. Error t value Pr(>|t|)    
## (Intercept)    -0.1236     0.4221  -0.293    0.771    
## Bee.diversity   1.5751     0.1038  15.175   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.143 on 50 degrees of freedom
## Multiple R-squared:  0.8216, Adjusted R-squared:  0.818 
## F-statistic: 230.3 on 1 and 50 DF,  p-value: < 2.2e-16