問題一覧
1
______________ allows researchers to compare two or more populations of interval or ratio data.
Analysis of Variance (ANOVA)
2
Analysis of Variance (ANOVA) allows researchers to compare ____ or ____ populations of _______ or ______ data.
two, more, interval, ratio
3
It is extremely powerful and commonly used statistical procedure.
ANOVA
4
The __________ technique determines whether differences exist between population means.
ANOVA
5
The ANOVA technique determines whether _____________ exist between ___________ means.
differences, population
6
Known as F-test
Analysis of Variance
7
was developed by Ronald A. Fisher in 1923
Analysis of Variance
8
One of the most widely used and highly developed statistical method in modern research.
Analysis of Variance
9
_________ techniques have been developed for the analysis of data in very complex statistical designs.
ANOVA
10
The data analyzed in _________ must be interval.
ANOVA
11
A simultaneous test taking the samples all at a single time.
ANOVA
12
Statistical technique specially designed to test whether the means of more than 2 quantitative populations are equal.
ANOVA
13
What is Analysis of Variance? Known as __________ was developed by _____________ in ______ one of the most widely used and highly developed statistical method in __________ research ANOVA techniques have been developed for the analysis of data in very __________ statistical designs. The data analyzed in ANOVA must be __________ A simultaneous test taking the samples ____ at a _______ time. Statistical technique specially designed to test whether the means of more than ___, _____________populations are _______.
F-test, Ronald A. Fisher, 1923, modern, complex, interval, all, single, 2, quantitative, equal
14
The ____________ is a statistical procedure that test to determine whether differences exist between two or more population means.
Analysis of Variance
15
The technique analyzes the _________ of the data to determine whether we can infer that the population means _______..
variance, differ
16
The procedure can be applied when the samples are independently drawn.
ANOVA
17
The ANOVA procedure can be applied when the _________ are _____________ drawn.
samples, independently
18
The variable __ is called the _________ variable, and its value refers to responses.
X, response
19
The unit that we intend to measure is called an ______________ unit.
experimental
20
The criterion by which we classify the population is called a _______ and each population is called ___________.
factor, factor level
21
The criterion by which we classify the _________ is called a factor and each ___________ is called factor level.
population, population
22
The analysis of variance tests whether there is enough statistical evidence to show that the _______ hypothesis is ______.
null, false
23
If the _____ hypothesis is ____ the population means would be ______or we would expect that the sample means are close to one another.
null, true, equal
24
Assumptions of One-Way Analysis of Variance 1. The samples are randomly selected and _____________ assigned to groups. 2. Populations should have approximately _______ standard deviation (______________). 3. Population distributions are _________.
independently, equal, homogeneous, normal
25
The statistic that measures the total variations of all the data is called the ______________.
total sum of squares
26
The _______________ is based on the portioning of the sum of squares, denoted by ______.
total sum of squares, SST
27
The statistic that measures the variation attributed to the differences between the treatment means is called _________________ (or between-treatment variations), denoted by _____.
sum of squares between groups, SSB
28
The __________________ (or within-treatment variations/error) measure the variation within sample, denoted by _____..
sum of squares within groups, SSW
29
The _______________ (or mean square for treatment) is computed by dividing SSB by the number of groups minus 1.
means square between the groups
30
The mean square between groups (or mean square for treatment) is computed by ________ SSB by the number of groups _______ 1.
dividing, minus
31
The mean square between groups (or mean square for treatment) is computed by dividing ____ by the number of groups minus ___.
SSB, 1
32
The ______________ (or mean square for error) is determined by dividing SSW by the total number of sample size (labeled n) minus the number of groups..
mean square within groups
33
The mean square within groups (or mean square for error) is determined by _________ SSW by the total number of sample size (labeled n) _______ the number of groups..
dividing, minus
34
The mean square within groups (or mean square for error) is determined by dividing _______ by the total number of _______size (labeled n) minus the number of groups..
SSW, sample
35
The _________ is defined as the ratio of the two mean squares.
Test Statistic
36
The test statistic is defined as the ______ of the _____ mean squares.
ratio, two
37
The degrees of freedom from this F test are 𝑑𝑓𝑏𝑔 = 𝑐 − 1 and 𝑑𝑓𝑤𝑔= n-c. The sample sizes need _____ be equal in all groups. The F test to compare means is always _______-tailed.The results of the analysis of variance are usually reported in an analysis of variance table,
not, right
38
If Fcomputed < Fcritical , ___________H0. If Fcomputed > Fcritical , ___________ H0.
do not reject, reject