Statistical Analysis for Education and Psychology Researchers

Obs ID Dep Var SMATHS Predict Value Std Err Predict Lower Mean 95% Upper 95% Mean Lower 95% Predict 1 17 110.0 113 1.638 109.4 1 ...

A refinement on the regression plot which shows the fitted regression line (see predicted vs. explanatory variable in Figure 8.1 ...

Figure 8.7b: Fitted least squares regression line for prediction of standardized maths ability score from teacher estimate of ma ...

variance reduces as the response values increase. With so few data points such an interpretation of this actual plot would not b ...

consider deleting outlier data points. The next section of output provides results of statistical tests of model fit and paramet ...

variable mean is printed as well as the coefficient of variation, CV which is a unitless measure of variation evaluated as (RMSE ...

linear and both variables are normally distributed. Correlations should always be examined prior to more sophisticated multivari ...

and the joint distribution of these variables should be normal (for all values of xi, the conditional distribution of yi is norm ...

Christianity attendance science Attitude towards – +0.4573 −0.0926 Christianity – p=0.001 p=0.010 Father’s church – – −0.0179 at ...

of reasoning ability and is often used as an indication of intelligence (IQ). The data is shown in Table 8.4. Table 8.4: Teacher ...

Figure 8.8a: Bivariate scatterplot for data in Table 8.2 To obtain a quantitative index of the strength of a relationship, the P ...

Figure 8.8b: Bivariate scatterplot for data in Table 8.2 Pearson correlatio n r—8.11 which is computationally an easier formula ...

The correlation between MATHS (M) and SMATHS (SM) is therefore and the correlation between MATHS (M) and RAVEN (R) is Interpreta ...

As with previous tests of significance the sampling distribution of the test statistic is used to determine whether the observed ...

95 per cent CI for r— 8.13 Fisher’s z is and the 95 per cent CI is These values now have to be transformed back to the original ...

Corrected Sum-of-Squares and Crossproducts (^) MATHS SMATHS RAVEN MATHS 60.400000 223.600000 −25.800000 SMATHS 223.600000 1030.4 ...

support of the alternative hypothesis that the true population correlation is not zero. Notice that a variable correlated with i ...

0.0 0.0049 SMATHS 0.83722 1.00000. 0.0049 0.0 RAVEN... Interpretation Notice that SAS treats the RAVEN variable as missing in th ...

between two means also has a sampling distribution which has a mean and a standard deviation, the latter is referred to as the s ...

This pooled variance estimate is the average of the two separate sample variances weighted by their respective sample sizes. The ...