I have written about the manual way of calculating one-way anova in One way analysis of variance. We shall use LibreOffice (or MS Excel) to calculate it quickly. I’d explain with Libre Office below.
Choose your data set.
1. Define the NULL (H0) and alternative (HA) hypothesis.
H0: there is no difference between three conditions with loan scheme.
μ ₹10,000.00 = μ ₹15,000.00 = μ ₹20,000.00
H1: There is a difference. Not all μs are equal.
2. Define the alpha value for type I error.
α = 5% = 0.05.
3. Choose your result cell
4. And Here is your output
|Source of Variation||SS||df||MS||F||P-value||F critical|
86.33 ≠ 3.5546, hence the null hypothesis is rejected, alternate hypothesis is accepted.