## CSETMathGuru: THE Site for Single Subject Math

**What skills and competencies are tested in the Statistics part of Subtest II?**

The following are concepts and associated skills you ought to master to do well on the Subtest II: Statistics section.

1.

**Describe Univariate Data:**Be able to calculate, interpret and apply the properties of the measures of central tendency and dispersion of a data set. In particular, determine the mean, median mode, standard deviation and variance of a sample, especially in Class Interval form; know how each of them is changed when the data is transformed ie. a constant is added/multipled to each datum; depending on the skewness of the distribution, know which measure(s) to use to describe the data.

2.

**Describe Bivariate Data:**Know the difference between Correlation and Regression; understand the assumptions underlying each and hence their applicability; be able to calculate and interpret the Correlation Coefficient, r, and the Least-Squares Regression Line (LSRL); know the properties of the Correlation Coefficient and the LSRL; possess a broad comprehension of the derivation of the LSRL - you don't need to be able to actually derive it but you need to know how the line came about (ie. the logic behind it); make predictions using the LSRL.

3.

**Methods of Generate Data:**Possess a broad understanding of different ways of Producing Data and the Advantages (Benefits) and Disadvantages (Constraints) pertaining to each: Census; Surveys and their Designs; and types of Sampling Plans (Simple Random, Stratified, Systematic, Cluster, etc); Know the different kinds of Errors in performing Surveys (Response / Non-Response); Understand the means to control Sampling Variability

4.

**Apply Principles of Probability:**Be able to apply the basic Rules of Probability; identify Dependent and Independent Events, Mutually Exclusive and Non-Disjoint Events and determine their probabilities; Have a firm grasp of conditional probability, especially using the Tree Diagram

5.

**Describe Common Distributions:**Have a general knowledge of different kinds of distributions and their underlying assumptions and properties: Discrete (Binomial, Poisson) and Continuous (Uniform, Normal); Be able to identify the distribution pertaining to real-life situations; Be able to determine probablities concerning Binomial and Normal Distributions

6.

**Statistical Inference:**Perform Tests of Hypothesis, in particular, the Chi-square Goodness of Fit test and the Chi-Square Test of Independence of 2 categorical variables; State the Hypothesis, check the underlying assumptions, perform the test, interpret the P-value and write conclusions.

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