Bonferroni Correction is a technique used to adjust the significance level of a statistical test when multiple tests are conducted. It helps to reduce the risk of making a Type I error (falsely rejecting the null hypothesis) by controlling the family-wise error rate (FWER). It involves dividing the chosen alpha level (e.g. 0.05) by the number of tests being conducted, thus creating a much stricter threshold for rejecting the null hypothesis.
@import url(‘https://fonts.googleapis.com/css?family=Droid+Serif|Raleway’);
.axis–y .domain {
display: none;
}
h1 {
color: black;
text-align: center;
margin-top: 15px;
margin-bottom: 0px;
font-family: ‘Raleway’, sans-serif;
}
h2 {
color: black;
font-size: 20px;
text-align: center;
margin-bottom: 15px;
margin-top: 15px;
font-family: ‘Raleway’, sans-serif;
}
p {
color: black;
text-align: center;
margin-bottom: 15px;
margin-top: 15px;
font-family: ‘Raleway’, sans-serif;
}
#words_intro {
color: black;
font-family: Raleway;
max-width: 550px;
margin: 25px auto;
line-height: 1.75;
}
#words_intro_center {
text-align: center;
color: black;
font-family: Raleway;
max-width: 550px;
margin: 25px auto;
line-height: 1.75;
}
#words_outro {
color: black;
font-family: Raleway;
max-width: 550px;
margin: 25px auto;
line-height: 1.75;
}
#words {
color: black;
font-family: Raleway;
max-width: 550px;
margin: 25px auto;
line-height: 1.75;
padding-left: 100px;
}
#calcTitle {
text-align: center;
font-size: 20px;
margin-bottom: 0px;
font-family: ‘Raleway’, serif;
}
#hr_top {
width: 30%;
margin-bottom: 0px;
margin-top: 10px;
border: none;
height: 2px;
color: black;
background-color: black;
}
#hr_bottom {
width: 30%;
margin-top: 15px;
border: none;
height: 2px;
color: black;
background-color: black;
}
.input_label_calc {
display: inline-block;
vertical-align: baseline;
width: 350px;
}
#button_calc {
border: 1px solid;
border-radius: 10px;
margin-top: 20px;
padding: 10px 10px;
cursor: pointer;
outline: none;
background-color: white;
color: black;
font-family: ‘Work Sans’, sans-serif;
border: 1px solid grey;
/* Green */
}
#button_calc:hover {
background-color: #f6f6f6;
border: 1px solid black;
}
.label_radio {
text-align: center;
}
- α: The original α level
- n: The total number of comparisons
Adjusted α: 0.01250
Interpretation: If you conduct 4 comparisons, only reject the null hypothesis of each comparison if it has a p-value less than 0.01250.
function calc() {
//get input values
var a = document.getElementById(‘a’).value*1;
var n = document.getElementById(‘n’).value*1;
//find number of bins
var adj = a/n;
//output
document.getElementById(‘adj’).innerHTML = adj.toFixed(5);
document.getElementById(‘n_out’).innerHTML = n;
document.getElementById(‘adj_out’).innerHTML = adj.toFixed(5);
}