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Q: Test the Hypothesis that the variance of two populations are the same at 90 confidence level. The two sample variance are 8 with 40 degree of freedom and 12 with 50 degree of freedom.?
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Does the variance of t distributions become smaller as degrees of freedom increase?

Yes.


Does t-distribution rely on degree of freedom?

Yes. The parameters of the t distribution are mean, variance and the degree of freedom. The degree of freedom is equal to n-1, where n is the sample size. As a rule of thumb, above a sample size of 100, the degrees of freedom will be insignificant and can be ignored, by using the normal distribution. Some textbooks state that above 30, the degrees of freedom can be ignored.


How do you find the confidence intervals?

See: http://en.wikipedia.org/wiki/Confidence_interval Includes a worked out example for the confidence interval of the mean of a distribution. In general, confidence intervals are calculated from the sampling distribution of a statistic. If "n" independent random variables are summed (as in the calculation of a mean), then their sampling distribution will be the t distribution with n-1 degrees of freedom.


When testing for differences between two means the sample population are?

You are testing the difference between two means of independent sample and the population variance are not known. from those population you take two samples of two different size n1and n2. what degrees of freedom is appropriate to consider in this case


Why do you have to recode a categorical variable into dummy variables?

To capture and express differences between group means produced by categorical predictors (independent variables) using correlational/regression techniques, one typically encodes categorical variables vis-a-vis dummy, contrast or effects coding to produce vectors, each of which define a group difference in the form of a slope coefficient. Each vector can be thought of as a predictor variable which targets a single degree of freedom difference (or the difference between two group means). The correlation between a vector and the criterion (dependent variable), when squared, expresses the difference between two group means as a proportion of variance accounted for (the proportion of variance in DV accounted for by being either in grp1 or grp2). Coding allows one to easily partition the between groups variance. The vectors are always single degree of freedom values (two coded values for two groups). How many vectors? The number is equal to the degrees of freedom of the between groups term or one less than the number of groups. Take a look at Kepple & Zeddeck 1989 "data analysis for research designs". Hope this helps.

Related questions

Does the variance of t distributions become smaller as degrees of freedom increase?

Yes.


What do children represent?

Happiness Innocence Freedom Confidence!! xx


What is the value of the degree of freedom?

The degree of freedom is a statistical measure that is the number of values in the final calculation of a statistic that are free to vary. It is important in determining the shape of the sampling distribution and is used in hypothesis testing and confidence interval estimation.


What is 'freedom and liberty' when translated from English to Italian?

Libertà, although both freedom and liberty have in some cases different meanings. Examples: Libertà 1 - freedom of trade, freedom of the seas, freedom fighter, franchise, freedom of the city. Liberta 2 - Liberty of the press, liberty of thought, liberty of contract, at liberty (they set the prisoners at liberty), privileges, confidence (to take the confidence with someone.


What connection can be made between treatment of colonial native populations and the character of Caliban?

Europeans took away the native populations' freedom like Prospero took Caliban's freedom.


What connection can be made between Europe's treatment of colonial native populations and the character of Caliban?

Caliban, like the colonized native populations, is at first grateful for new ideas and goods but then becomes resentful at his unfair treatment.


Does t-distribution rely on degree of freedom?

Yes. The parameters of the t distribution are mean, variance and the degree of freedom. The degree of freedom is equal to n-1, where n is the sample size. As a rule of thumb, above a sample size of 100, the degrees of freedom will be insignificant and can be ignored, by using the normal distribution. Some textbooks state that above 30, the degrees of freedom can be ignored.


Why is there a need of self confidence?

Without confidence you tend to think in terms of fear and failure. With confidence you become fearless, self assured , energetic and happy. Living in confidence applies to all aspects of your life. It can stem from financial freedom to talking to an attractive women who end up begin your wife. Confidence is all a state of mind which you can posses with the right tools! Learn more those tool in the related link on how to build self confidence


What is the sample variance and the estimated standard error for a sample of n 4 scores with SS 300?

The sample variance is obtained by dividing SS by the degrees of freedom (n-1). In this case, the sample variance is SS/(n-1) = 300/(4-1) = 300/3 = 100 In order to get the standard error, you can do one of two things: a) divide the variance by n and get the square root of the result: square.root (100/4) = square.root(25) = 5, or b) get the standard deviation and divide it by the square root of n. 10/square.root(4) = 10/2 = 5


What is Douglass's tone in my bondage my freedom?

Douglass's tone in "My Bondage and My Freedom" is often assertive and defiant, showcasing his resilience against oppression. He also displays a sense of determination and intellectual self-confidence throughout the narrative.


When do you use n-2 degrees of freedom?

With n observations, it could be when 2 distributional parameters have been estimated from the data. Often this may be the mean and variance (or standard deviation( when they are both unknown.


How do you find the confidence intervals?

See: http://en.wikipedia.org/wiki/Confidence_interval Includes a worked out example for the confidence interval of the mean of a distribution. In general, confidence intervals are calculated from the sampling distribution of a statistic. If "n" independent random variables are summed (as in the calculation of a mean), then their sampling distribution will be the t distribution with n-1 degrees of freedom.