Showing posts with label Statistics. Show all posts
Showing posts with label Statistics. Show all posts
What is Main Effect?
Posted by Muhammad Taheir
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Main Effect
The effects of the independent variables.What is Interaction Effect?
Posted by Muhammad Taheir
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Interaction Effect
The effect one factor has on the other factorWhat is Factors?
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Factors
The two independent variables in a two-way ANOVA.What is Two-Way Analysis of Variance?
Posted by Muhammad Taheir
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Two-Way Analysis of Variance
An extension to the one-way analysis of variance. There are two independent variables. There are three sets of hypothesis with the two-way ANOVA. The first null hypothesis is that there is no interaction between the two factors. The second null hypothesis is that the population means of the first factor are equal. The third null hypothesis is that the population means of the second factor are equal.What is Tukey Test?
Posted by Muhammad Taheir
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Tukey Test
A test used to find where the differences between the means lie when the Analysis of Variance indicates the means are not all equal. The Tukey test is generally used when the sample sizes are all the same.What is Scheffe' Test?
Posted by Muhammad Taheir
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Scheffe' Test
A test used to find where the differences between means lie when the Analysis of Variance indicates the means are not all equal. The Scheffe' test is generally used when the sample sizes are different.What is Within Group Variance?
Posted by Muhammad Taheir
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Within Group Variance
The variance due to the differences within individual samples, denoted MS(W) for Mean Square Within groups. This is the within group variation divided by its degrees of freedom.What is Within Group Variation?
Posted by Muhammad Taheir
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Within Group Variation
The variation due to differences within individual samples, denoted SS(W) for Sum of Squares Within groups. Each sample is considered independently, no interaction between samples is involved. The degrees of freedom is equal to the sum of the individual degrees of freedom for each sample. Since each sample has degrees of freedom equal to one less than their sample sizes, and there are k samples, the total degrees of freedom is k less than the total sample size: df = N - k.What is Between Group Variance?
Posted by Muhammad Taheir
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Between Group Variance
The variance due to the interaction between the samples, denoted MS(B) for Mean Square Between groups. This is the between group variation divided by its degrees of freedom.What is Between Group Variation?
Posted by Muhammad Taheir
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Between Group Variation
The variation due to the interaction between the samples, denoted SS(B) for Sum of Squares Between groups. If the sample means are close to each other (and therefore the Grand Mean) this will be small. There are k samples involved with one data value for each sample (the sample mean), so there are k-1 degrees of freedom.What is Analysis of Variance (ANOVA)?
Posted by Muhammad Taheir
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Analysis of Variance (ANOVA)
A technique used to test a hypothesis concerning the means of three or mor populations.One-Way Analysis of Variance
Analysis of Variance when there is only one independent variable. The null hypothesis will be that all population means are equal, the alternative hypothesis is that at least one mean is different.
What is F-distribution?
Posted by Muhammad Taheir
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F-distribution
The ratio of two independent chi-square variables divided by their respective degrees of freedom. If the population variances are equal, this simplifies to be the ratio of the sample variances.What is Observed Frequency?
Posted by Muhammad Taheir
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Observed Frequency
The frequencies obtained by observation. These are the sample frequencies.What is Independence Test?
Posted by Muhammad Taheir
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Independence Test
A test to see if the row and column variables are independent.What is Goodness-of-fit Test?
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Goodness-of-fit Test
A test to see if a sample comes from a population with the given distribution.What is Expected Frequency?
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Expected Frequency
The frequencies obtained by calculation.What is Contingency Table?
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Contingency Table
Data arranged in table form for the chi-square independence testWhat is Chi-square distribution?
Posted by Muhammad Taheir
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Chi-square distribution
A distribution obtained from the multiplying the ratio of sample variance to population variance by the degrees of freedom when random samples are selected from a normally distributed populationWhat is Standard Error of the Estimate?
Posted by Muhammad Taheir
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Standard Error of the Estimate
The standard deviation of the observed values about the predicted values
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