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FINAL EXAM ISDS questions with complete solutions
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FINAL EXAM ISDS questions with complete solutions
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FINAL EXAM ISDSWhat is ANONA (analysis of variance) used for? - correct answer ✔✔used to determine if differences
exist between the means of three or more populations under independent sampling
one way ANOVA compares population means based on one categorical variable or factor
what type of test is Anuva? - correct answer ✔✔T test with equal but unknown variances which are
applied to a total of c populations, rather than just two.
One way ANOVA hypothesis - correct answer ✔✔H0: µ1 = µ2 = ... = µc
HA: Not all population means are equal. -> means that one is different than the others
one way anova
BETWEEN TREATMENTS estimate of variance - correct answer ✔✔Calculate SSTR
THEN MSTR
MSTR = SSTR/(c-1)
c is the number of populations (treatments)
one way anova
WITHIN TREATMENTS estimate of variance - correct answer ✔✔First calculate the error sum of squares,
SSE
THEN MSE
one way ANOVA
F TEST - correct answer ✔✔test statistic for testing whether differences exist between the population
means is
, F (df1, df2) = MSTR / MSE
df1 = c -1
df2= NT - c
one way anova SST - correct answer ✔✔The total sum of squares SST is the sum of the squared
differences of each observation from the grand mean
SST = SSTR + SSE
Comparison methods - correct answer ✔✔Fishers LSD method and Tukeys HSD methods are used to find
which population means differ, after ANOVA finds significant differences between the population means
Fishers confidence interval - correct answer ✔✔n's are for the two samples being evaluated
if zero falls in between the numbers for answer, there will be no statistical difference
(-63, 137)
ZERO FALLS BETWEEN = NO DIFFERENCE between boston and new york
(794, 1009) -
SIGNIFICANTLY DIFFERNT, no zero between
Tukeys HSD method - correct answer ✔✔Protects against an inflated risk of a Type 1 error!
each interval slightly wider than the Fisher method, to protect against type one error!
Balanced vs unbalanced data
balanced: each sample size is the same
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