Statistical Analysis for Education and Psychology Researchers

median AA, the first school sampled is above the median and the second school sampled is below the median AB, the first school i ...

area of all the bars would sum to 1 which is the sum of all the probabilities. If we extend Pascal’s triangle to a sample of ten ...

could be defined as any outcome of interest, such as count of deaths in dead/alive, count of passes in pass/fail or count of yes ...

estimation and inference. Typically the kinds of questions a researcher might want to ask include: ‘How much confidence can we h ...

previous year. If we plan to select a simple random sample of 500 secondary schools, what will be the expected mean and standard ...

To answer this question we turn to consideration of standard errors and confidence intervals, these are discussed in the next se ...

There is often confusion about whether a standard deviation or a standard error should be reported. This confusion generally ste ...

interval you are in a better position to make a judgment about the author’s conclusions. You should read the article for yoursel ...

a finite population, the sampling distribution is described by a theoretical probability model. 3 The sampling distribution of a ...

population, but also many statistical test procedures are based on the assumption of normality—t-test, F-test, and Pearson corre ...

Table 1, Appendix A4. It has a mean μ of 0 and a σ standard deviation and variance of 1. In notation this is N (0, 1) where N re ...

deviate— 4.7 For a pulse rate of 84 then, Z=(84−72)/12=1. For a pulse rate of 72 then, Z=(72−72)/12=0. A linear transformation d ...

below, on which of the three tests did the candidate do best? (^) Raw Score Mean S.D. Test 1 22 12 4 Test 2 42 30 5 Test 3 110 1 ...

the logic of hypothesis testing not too demanding. The thinking underpinning the logic of hypothesis testing is best illustrated ...

You may be thinking, why do researchers use such a circuitous procedure when testing a hypothesis? That is why, when the questio ...

chosen by the researcher, before the statistical hypothesis is tested, is compared with the p-value derived from the statistical ...

Can you state three alternative hypotheses? The three possible alternatives are: H 1 :P≠π (LEA proportion of statements is not ...

this is evidence that the data are not consistent with the null hypothesis (the confidence interval will also exclude zero). You ...

Diagrammatically this is shown in Figure 4.4. The significance level (p-value) chosen by a researcher equals the probability of ...

Figure 4.6: A summary of the possible outcomes of the decision-making process 4.9 Statistical Inference in Context My reason for ...