Cosine Distance Example

This article discusses cosine distance example. We will measure distance between data by cosine distance method. About cosine distance theory you can read in my article titled "List Calculation of distance between data points"

Presented the data set as below.

Sepal length	Sepal Width	Petal length	Petal Width
5.5	2.3	4	1.3
6.3	3.3	4.7	1.6
5.2	2.7	3.9	1.4
6.1	2.9	4.7	1.4
7.1	3	5.9	2.1
6.5	3	5.9	2.1
7.2	3.6	6.1	2.5
5.8	2.8	5.1	2.4
7.7	2.6	6.9	2.3
5.6	2.8	4.9	2

Next we will calculate the distance between the second data with all the data in the table above. For that we take the second data from a table like this.

Sepal length	Sepal Width	Petal length	Petal Width
6.3	3.3	4.7	1.6

Let us calculate distance between two data with all data using cosine distance method using this formula.

1. Calculate second data distance with first data

2. Calculates second data distance with fifth data

After all data is calculated then got result like table below

Sepal length	Sepal Width	Petal length	Petal Width	Distance
5.5	2.3	4	1.3	53.09452
6.3	3.3	4.7	1.6	75.23
5.2	2.7	3.9	1.4	51.49649
6.1	2.9	4.7	1.4	69.60587
7.1	3	5.9	2.1	98.15019
6.5	3	5.9	2.1	89.85717
7.2	3.6	6.1	2.5	107.8565
5.8	2.8	5.1	2.4	72.61512
7.7	2.6	6.9	2.3	117.1933
5.6	2.8	4.9	2	66.87255