# Shared Flashcard Set

## Details

Biometry Exam 2
Flashcards from lab 6
29
Mathematics
10/01/2013

Term
 Large mean difference, large SEM, you get a ____ t statistic.
Definition
 small While a large mean difference does exist, we are relatively unsure about what the true population mean is, so we can’t be too sure if it is different from a value
Term
 Small mean difference, small SEM, you get a ____ t statistic.
Definition
 Large t-statisticThe means are not very different, and we aren’t very sure about what the true value of the population mean is, so we can’t be very certain about whether the mean is equal to or different from a value
Term
 p value def
Definition
 probability of obtaining our test statistic (t hat) given that (vertical bar) the null hypothesis (Ho) is true.or probability of getting a test statistic as extreme or more extreme than what we had.
Term
 null t distribution
Definition
 distribution we'd use if null hypothesis is true, always centered on zero
Term
 Does the test statistic fall within the central 95/99/90% of the distribution?If yes,If no,
Definition
 if yes, they are the sameif no, they are different
Term
 Large mean difference, small SEM, you get a ____ test statistic
Definition
Term
 Small mean difference, large SEM, you get a _____ test statistic.
Definition
Term
 T distribution is always centered on ___, because:
Definition
 0, because if the Null Hypothesis is true, the mean would be 0.
Term
 Ho:Ha:
Definition
 Ho: u= theorized valueHa: u not = theorized value
Term
 Type 1 error
Definition
 true state of affairs is the Ho is true, we find a differenceex: person is innocent and we find them guilty
Term
 alpha is our accepted type __ error rate
Definition
 1
Term
 If (u) is not equal to our Ho, the t statistic is >/The error of 0.05 is distributed how?
Definition
 the t statistic is either much larger or much lower than the meanthe 0.05 is split on both tails, with 0.025 on each side
Term
 If u>x and Ha is accepted, the test statistic is >/
Definition
 test statistic is > the mean. 0.05 is all on the top tail.
Term
 tails: critical/noncritical regionscentral: critical/noncritical regions
Definition
 tails: criticalcentral: non-critical
Term
 If the calculated t statistic is less than or equal to -2.06, OR greater than or equal to 2.06, it falls in the ____ and we will reject the null hypothesis
Definition
 critical region
Term
 If the calculated t statistic is greater than -2.06 AND less than 2.06, it falls in the ____ and we will fail to reject the null hypothesis
Definition
 non-critical region
Term
 Two reasons for a two mean comparison:
Definition
 test for equalitytest for magnitude of difference
Term
 how do you differentiate sample means from two populations?
Definition
 x bar 1x bar 2
Term
 if the test statistic falls in the outer tails, we say it is part/not part of the distribution
Definition
 not part
Term
 In a two mean scenario, if the t hat comes out positive, it means pop1 or pop2 is larger?
Definition
 pop1because part of the equation is xbar1-xbar2
Term
 What is the point of an ANOVA?
Definition
 to see whether or not at least one sample population mean is different
Term
 What is the simplest form of ANOVA?What is the difference between this and more complex form?
Definition
 One way ANOVAUsed to test 3+ treatmentsThis has only 1 variation source (factor)
Term
 what is the grand mean?
Definition
 mean of all the means of the treatments
Term
 what is the treatment effect?
Definition
 difference between that treatment mean and the grand mean
Term
 what is the residual error?
Definition
 difference between the individual measurement and the mean of the sample population
Term
 Draw a diagram of treatments A,B,and C with a grand mean of 5, and the null hypothesis is true
Definition
 I would probably draw A B C on the x axis and numbers on the Y. I'd make a dotted line at 5 all the way across to show the grand mean. Then I'd have all three treatment means on the dotted line.
Term
 Draw a diagram of treatments A,B,and C with a grand mean of 5. The treatment means are all different but the within variation is small. Would we most likely reject or fail to reject the null?
Definition
 I'd have the points on both sides of the grand mean with small error bars. We'd most likely reject the null.
Term
 Draw a diagram of treatments A,B,and C with a grand mean of 5. The treatment means are all different but the within variation is large. Would we most likely reject or fail to reject the null?
Definition
 Id have the means on both sides of the grand mean, with large error bars. We'd most likely fail to reject the null because the variation overlaps so much that they wouldn't truly differ.
Term
 Not sure if we have to know this buuuuttt.....When inferences only apply to the treatments you studied in your 1 way model it is called _____
Definition
 A fixed-effects model or model 1
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