Exam 10: Independent Groups T -Test

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If the assumption of homogeneity of variance is violated a nonparametric test has to be used.

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What does a t value represent?

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Whereas the sum of squares total reflects the total amount of variability in the dependent variable,the sum of squares error reflects the amount of variability that remains before the effects of the dependent variable have been removed.

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The standard deviation of the sampling distribution of the differences between 2 means is referred to as_________.

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Dr.Johnson is studying the effects of aspirin on heart rate.He believes that aspirin will lower heart rate.He has 2 groups the treatment group receives 80mg of aspirin for a week (n=4)the control group received a placebo (n=4)and their heart rates are compared.Below is his data in which heart rate is beats per minute.He sets his alpha level at 0.05 and uses a directional test. Dr.Johnson is studying the effects of aspirin on heart rate.He believes that aspirin will lower heart rate.He has 2 groups the treatment group receives 80mg of aspirin for a week (n=4)the control group received a placebo (n=4)and their heart rates are compared.Below is his data in which heart rate is beats per minute.He sets his alpha level at 0.05 and uses a directional test.   What is Dr.Johnson's critical t-value? What is Dr.Johnson's critical t-value?

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Dr.Osborn believes that taking calcium will improve bone density in women.She uses a between subjects design and gives the treatment group Calcium everyday and the placebo group a sugar pill.Her scientific or alternative hypothesis is_____.

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Analogous to the standard error of the mean,the size of the standard error of the difference is influenced by two factors: (1)the sample sizes (n1 and n2)and (2)the variability of scores in the populations (ó12 and ó22).

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_____ represents the proportion of variability in the dependent variable that is not associated with the independent variable--that is,the proportion of variability that is due to disturbance variables.

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Dr.Hansen believes a person taking Tylenol PM will sleep longer but will be drowsier during the day.One group of subjects took.Tylenol (n=5)for 1 month and reported the number of times he or she felt sleepy.The second group was given a placebo (n=5)and asked to log the number of times they felt sleepy with in a month.Sleepy was defined as the urge to sleep or to engage in micro-sleeps at some point in the day. a.Is there a significant difference between the 2 groups? (Directional and alpha level was set at .05) Dr.Hansen believes a person taking Tylenol PM will sleep longer but will be drowsier during the day.One group of subjects took.Tylenol (n=5)for 1 month and reported the number of times he or she felt sleepy.The second group was given a placebo (n=5)and asked to log the number of times they felt sleepy with in a month.Sleepy was defined as the urge to sleep or to engage in micro-sleeps at some point in the day. a.Is there a significant difference between the 2 groups? (Directional and alpha level was set at .05)     b.What is the nature of the relationship? c.What is the strength of the relationship based on eta<sup>2</sup>? d.Explain why you used an Independent t-test? b.What is the nature of the relationship? c.What is the strength of the relationship based on eta2? d.Explain why you used an Independent t-test?

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The distribution of mean differences across all possible pairs of random samples of a given size represents a sampling distribution of the difference between two independent means.

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Which of the following is a numerical index that most reflects the influence of disturbance variables?

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What is a sampling distribution of the difference between two independent means?

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According to the homogeneity of variance assumption:

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Dr.Johnson is studying the effects of aspirin on heart rate.He believes that aspirin will lower heart rate.He has 2 groups the treatment group receives 80mg of aspirin for a week (n=4)the control group received a placebo (n=4)and their heart rates are compared.Below is his data in which heart rate is beats per minute.He sets his alpha level at 0.05 and uses a directional test. Dr.Johnson is studying the effects of aspirin on heart rate.He believes that aspirin will lower heart rate.He has 2 groups the treatment group receives 80mg of aspirin for a week (n=4)the control group received a placebo (n=4)and their heart rates are compared.Below is his data in which heart rate is beats per minute.He sets his alpha level at 0.05 and uses a directional test.   What is the strength of the relationship? What is the strength of the relationship?

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The procedure which produces a pooled weighted estimate of the sample variances combines the individual estimates in a manner which is ____.

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The t statistic approximately follows a t distribution when (1)the samples are independently and randomly selected from their respective populations, (2)the scores in each population are normally distributed,and (3)the scores in the two populations have equal variances.

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Confidence intervals are used to_____.

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It is important to calculate the _________even if the results indicate there is not a significant difference between groups.

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The alternative hypothesis for an independent-groups t test states that _____.

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The independent groups t test is not robust to any violation of the normality and homogeneity of variance assumptions.

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