Ben Chuanlong Du's Blog

It is never too late to learn.

The Unfair Wager Problem

Things on this page are fragmentary and immature notes/thoughts of the author. Please read with your own judgement!

https://projecteuler.net/problem=436

\(X_i \sim Bernoulli(p)\)

$$\bar{X}_n \dot{\sim} N(p, \frac{p(1-p)}{n})$$
$$[\bar{X}\pm C_{\alpha} \sqrt{\frac{p(1-p)}{n}}]$$
$$\frac …

Time Series Analysis

Things on this page are fragmentary and immature notes/thoughts of the author. Please read with your own judgement!

In statistics, a unit root test tests whether a time series variable is non-stationary using an autoregressive model. A well-known test that is valid in large samples is the augmented Dickey …

Tips on Excel

Things on this page are fragmentary and immature notes/thoughts of the author. Please read with your own judgement!

About Statistics Functions

  1. Excel is not a reliable software for statistical analysis. It's not even capable for simple operations such as calculating mean and standard deviation when numbers are very big …

Experiment Design

Things on this page are fragmentary and immature notes/thoughts of the author. Please read with your own judgement!

  1. Complete Randomized Design (CRD)

  2. Randomized Complete Block Design (CBD)

    • same RNE as CRD
  3. Latin Square Design (LSD)
    • same RNE as CRD

  4. Balanced Incomplete Block Design

    • all treatments cannot fit in any …

Sampling Methods

Things on this page are fragmentary and immature notes/thoughts of the author. Please read with your own judgement!

Probability Sampling

  • Random Sampling

  • Systematic Sampling

  • Stratified Sampling

Non-probability Sampling

  • Convenience Sampling

  • Judgement Sampling

  • Quota Sampling

  • Snowball Sampling

bias