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Miscellaneous
MLE (Maximum Likelihood Estimate) for Normal Distribution
In this article, we explain how to find the Maximum Likelihood Estimate (MLE) for the normal distribution to estimate the parameters µ and σ. The Maximum Likelihood Estimate is obtained by maximizing the value...
Miscellaneous
How to Calculate Sxx in Excel (with Examples)
In this article, we explain how to calculate the Sxx value in Excel. The Sxx value refers to the sum of squares of deviations due to X. It can be calculated using the formula,
Sxx...
Miscellaneous
Intersection of Two Subspaces is a Subspace (Step by Step Proof)
In this article, we give a step by step proof of the fact that the intersection of two vector subspaces is also a subspace.
The proof is given in three steps which are the...
Miscellaneous
MLE of Binomial Distribution (Step by Step Proof)
In this article, we explain how to obtain the MLE (Maximum Likelihood Estimate) for the binomial distribution. Our goal is to obtain an estimate for the parameter 'p' which denotes the probability of success...
Miscellaneous
Derivation of Sxx Formula (Step by Step Proof)
In this article, we explain how to derive the expanded form of the Sxx formula from the original expression for the sum of squares Sxx. We will prove that both of the formulae for...
Miscellaneous
How to Find Sxx (with Examples & Formula)
The Sxx value can be calculated using the formula,
Sxx = ∑(Xi - X̅)2.
The Sxx refers to the sum of squares due to the variable x in both linear regression and ANOVA. It basically measures...
Miscellaneous
Importance of T Test in Statistics (3 Uses + Examples)
In this article, we explain the three important applications of the T-test in statistics. The T-test is a parametric test based on the T distribution. The three main applications are:
One Sample T-test - To...
Miscellaneous
Importance of Statistics in Economics (5 Reasons + Examples)
Economics is concerned with the study of the production and distribution of wealth. It is natural that the study of large amounts of data on wealth and production leads to applications of statistical methods.
Statistics...
