Question

In a one-way ANOVA, what is the minimum difference between means (for each group/level/condition/sample) required to conclude that there is a significant difference between a pair of groups/levels/conditions/samples?

Answer #1

In a one-way ANOVA, directly we can't determine thje minimum difference between means (for each group / level / condition / sample) but we can do it by comparing respective p - values. If we want to know the minimum differences, we need to estimate comfidence intervals. Confidence Intervals gives us better idea on minimum differences.

In comparing the significant effect, we need to compare p value with 0.05 (at 95% confidence level). For a hypothesis, of p value is greater than 0.05 then the groups are not significant. Similarly, we can do the comparison among various levels too.

Is there any difference between a Factorial ANOVA and a One-Way
ANOVA?
Yes, a Factorial ANOVA has 2+ IVs, whereas a One-Way ANOVA has
only 1 IV.
Yes, the main purpose of a Factorial ANOVA is to test if two or
more groups are significantly different from each other, whereas a
One-Way ANOVA compares means across two or more independent
variables.
No, both tests are the same.
Yes, Factorial ANOVA results in the calculation of three F
ratios, whereas two...

If there is an overall significant F in a one-way ANOVA, can we
conclude that the group membership or treatment variable cause the
observed difference in the group means? Why or why not?

1. A “one-way” between-subjects ANOVA is conducted when data are
recorded in one group.
True
False
2. Post hoc tests control for the total alpha level for a series
of tests conducted on the same data.
True
False
3. All post hoc tests control for the effect size of a
significant result.
True
False
4. A one-way between-subjects ANOVA is conducted to test for
mean differences between the levels of two or more factors.
True
False
5. A researcher conducts...

Consider the One-Way ANOVA table (some values are intentionally
left blank) for the amount of food (kidney, shrimp, chicken liver,
salmon and beef) consumed by 50 randomly assigned cats (10 per
group) in a 10-minute time interval.
H0: All the 5 population means are equal
H1: At least one population mean is
different.
Population: 1 = Kidney, 2 = Shrimp, 3 = Chicken Liver, 4 =
Salmon, 5 = Beef.
ANOVA
Source of Variation
SS
df
MS
F
P-value
F...

In a one-way ANOVA, what does it mean to reject the statement
in the null hypothesis if three treatment groups are being
compared? Choose the correct answer below. A. Rejecting the
statement in the null hypothesis means that there is insufficient
evidence to conclude that the mean of one of the populations is
different than the other two or that all three populations are
different. B. Rejecting the statement in the null hypothesis means
that there is sufficient evidence to...

Problem No 1:
What is the main difference between one-way ANOVA and three-way
ANOVA? (1 point)
In two-way ANOVA, what is the effect on dependent variable you
are able observe otherwise not possible if running two separate
studies with one-way ANOVA? (1 point)
What does a marginal mean represent? (1 point)
What does a cell mean represent? (1 point)
In a three-way ANOVA, how many interaction effects are to be
tested for significance? (1 point)

Power and sample size determination for one-way ANOVA 1. If µ1 =
12, µ2 = 13, µ3 = 18 and µ4 = 21 with s e = 5, what is the power of
the test when n1 = 2, n2 = 3, n3 = 3 and n4 = 2 and a = .05? 2. If
µ1 = 12, µ2 = 13, µ3 = 18 and µ4 = 21 with s e = 5, what is the
power of the test...

11.If there is an overall significant F in a one-way ANOVA, can
we conclude that the group
membership or treatment variable caused the observed differences
in the group means? Why or
why not?
11A.
11B. Why or why not?

1. Using the two-way mixed ANOVA, different participants are
observed at each level of the between-subjects factor, and the same
participants are observed across the levels of the within-subjects
factor. TRUE OR FALSE
2. A researcher computes two 2 × 2 between-subjects ANOVAs. In
Study 1, he observes 8 participants in each cell; in Study 2, he
observes 12 participants in each cell. Which study is associated
with a larger value for degrees of freedom for the A × B...

The One-Way ANOVA applet lets you see how the
F statistic and the P-value depend on the
variability of the data within groups, the sample size, and the
differences among the means.
(a)
The black dots are at the means of the three groups. Move these
up and down until you get a configuration that gives a
P-value of about 0.01. What is the value of the F
statistic?
_______________________________________________________________________________________________________________________________________________________
(b)
Now increase the variation within the groups by sliding...

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