### 2015 A-level H2 Mathematics (9740) Paper 2 Question 5 Suggested Solutions

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions. (i) Manager is unable to obtain an appropriate sampling frame. (ii) [...]

### Sampling & Survey # 9 – Regression Estimation

Today, we shall look at regression estimation. We will begin by looking at the usual & simple straight line regression model: . Let and by the ordinary least squares (OLS) regression [...]

### Sampling & Survey # 8 – Ratio Estimation

So last time we saw STR and here is a quick recap. Set the stratification scheme Set the stratum design Implement the sampling methods for each stratum independently Pool the strum estimates to [...]

### Sampling & Survey #7 – Stratified Sampling

SRS form the basis of sampling and survey methods as it is easy to design and analyse, but it is rarely the best design. We may adopt systematic sampling or cluster sampling but we often are [...]

### Sampling & Survey #6 – Systematic Sampling

For today, it is going to be a short and simple session on Systematic Sampling, We can effectively consider systematic sampling as a proxy for simple random sampling. We start by taking (rounding [...]

### Sampling & Survey #5 – Sampling weight, Confidence Interval and sample size in SRS

So let us now continue study SRS. Recall in part 3, we introduced the idea of unit inclusion probability. Subsequently, we introduced , which is the sampling weight. The sampling weight of unit i [...]

### Sampling & Survey #4 – Qualities of estimator in SRS

So we formally introduced the estimators used in SRS previously. Now, we are interested in how good our estimators are, and if you recall, by good, I refer to accuracy (MSE), Precision (Variance) [...]

### Sampling & Survey #3 – Simple Random Sampling

Today we shall look at the first sampling method we introduced: Simple Random Sampling. Recall that we mentioned that this is the most basic form of probability sampling since it provides the [...]

### Sampling & Survey #2 – Simple Probability Samples

So recall that we are interested on the statistical aspects of taking and analysing a sample, and a good sample will be representative in the sense that characteristics of interest in the [...]

### Sampling & Survey #1 – Introduction

This is a new series (this is essentially post-graduate materials, meaning you need strong statistical background at university level) on Sampling and Survey. I know many JC students will think, [...]

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