### Present Remotely

Send the link below via email or IM

• Invited audience members will follow you as you navigate and present
• People invited to a presentation do not need a Prezi account
• This link expires 10 minutes after you close the presentation

Do you really want to delete this prezi?

Neither you, nor the coeditors you shared it with will be able to recover it again.

# One-Way ANOVA

No description
by

## :----D -

on 1 November 2015

Report abuse

#### Transcript of One-Way ANOVA

One-Way ANOVA
WHAT IS ONE-WAY ANOVA????
ONE-WAY ANALYSIS VARIANCE!!!
WHAT DOES ONE-WAY ANOVA DO?
it compares the means between the groups you are interested in and determines whether any of those means are significantly different from each other
WHEN DO WE USE ONE-WAY ANOVA?????
2 DIFFERENT TYPES OF STUDY DESIGNS
OMNIBUS TEST STATISTIC
cannot tell you which specific groups were significantly different from each other
1
2
1
2
3
random individuals
split to 3 smaller groups
starts slow then
increases their speed
starts fast and slows
down
throughout
TIME = Dependent Variable
split based on attributes they possess
amateur
semi-professional
professional
FORCE / STRENGTH = DEPENDENT VARIABLE
(independent groups)
HOW TO COMPUTE FOR ONE-WAY ANOVA!!!
tests the null hypothesis
1

2

5
2

4

2
2

3

4
STEP
H
o
=
1
=
2
=
3
H
a
=
At least one difference
among the means
= .05
STEP
Degrees of Freedom
df BETWEEN
df WITHIN
= (k-1)
k = no. of conditions we have in our study
= (
3
-1)
=
2
= (N-k)
n = total no. of scores we have in our sample
= (
9
- 3) =
6
df TOTAL =
2 + 6 =
8
f-CRIT =
5.14
STEP
ANALYSIS OF VARIANCE
(SUM OF SQUARES)
TOTAL
WITHIN
BETWEEN
1
2
3
= 1 + 2 + 5 / 3 =
2.67
= 2 + 4 + 2 / 3 =
2.67
= 2 + 3 + 4 / 3 =
3.00
GRAND MEAN
G/N = 1 + 2 + 5 + 2 + 4 + 2 + 2 + 3 + 4 / 9
= 2.78
SS
=
( x1 - G/N)
2
= (
1
- 2.78)
2
+
( 2
-
2.78)
2
+ ( 5 - 2.78) + ( 2 - 2.78)
2
2
+ (4-2.78) + (2-2.78) + (2-2.78) + (3-2.78) + 4-2.78)
=13.5556/13.56
SS
=
( x1
-
1
)
2
= (
1 -
2.67 )
2
+
(2-2.67) + (5-2.67) + (2-2.67) + (4-2.67)
+ (2-2.67) + (2-3) + (3-3) + (4-3) =
2
2
2
2
2
2
2
2
13.3334/13.33
SS
=
SS TOTAL
_
SS WITHIN
=
.23
STEP
VARIANCE WITHIN & BETWEEN
MS BETWEEN =
SS BETWEEN
___________
df BETWEEN
=
.23
_____
2
=
.12
MS WITHIN
=
SS WITHIN
__________
df WITHIN
=
13.33
______
6
=
2.22
STEP
f - VALUE / f - STAT
f =
MS BETWEEN
____________
MS WITHIN
=
.12
____
2.22
=
.05
f (
.05
) <
f CRITIC (
5.14
)
How to use One-Way ANOVA on Microsoft Excel
A2:C10
E:1
EXAMPLES OF RESEARCHES THAT USE ONE-WAY ANOVA
ABM
THE RELATIONSHIP OF A BRAND NAME TO THE SALEABILITY OF SELECT COFFEE BRANDS
High School Department
LABELLED
UNLABELLED
MISLABELLED
DEPENDENT VARIABLE: QUALITY RATING OF EACH GROUP
HUMSS
THE EFFECTS OF EMBEDDED QUESTION TYPE AND LOCUS OF CONTROL ON PROCESSING DEPTH, KNOWLEDGE GAIN, AND ATTITUDE CHANGE IN A COMPUTER-BASED INTERACTIVE VIDEO ENVIRONMENT
Michael W. Mitchell
33 SUBJECTS (AGES 12-15)
NO QUESTIONS
FACTUAL QUESTIONS
INFERENCE QUESTIONS
DEPENDENT VARIABLES: MENTAL EFFORT RATING, REACTION TIME, ATTITUDE CONSTRUCTS, AND KNOWLEDGE CONSTRUCTS
STEM
IDENTIFYING BIRD SPECIES AS BIODIVERSITY INDICATORS FOR TERRESTRIAL ECOSYSTEM MANAGEMENT
7 BIRDS
ECOLOGY
GEOGRAPHICAL INFORMATION SYSTEM
STATISTICAL MODELLING
DEPENDENT VARIABLE: BIRD INDENTIFICATION
(JOSH, JD, PREZIL)
put them under different conditions
Different pacing strategies affect the time to complete a marathon
ALPHA LEVEL
>Level of Significance
> the probability of making a Type I error
TYPE I ERROR
> incorrect rejection
of a true null
hypothesis
TYPE II
> the failure to
reject a false
null
hypothesis
GOAL
> Look for the f-critical and f-value to be
able to determine whether we failed to
reject our null hypothesis
Degrees of Freedom
F - Critical Value
Sum of Squares
Variance within & between
F - Value
Compare
F- Value and F- Crit
if F-value < F-crit we fail to reject our null hypothesis
*num of values in the final calculation of a statistic that are free to vary
df between
df within
all the scores
________________
# of scores you have
GRAPHING
F-Distribution
>right skewed
>it is described by its numerator (df between) and denominator (df within)
Minitab.com. (n.d.).
F-distribution.

http://support.minitab.com/
en-us/minitab-express/1/help-and-how-to/basic-statistics/probability-distributions/supporting-topics/distributions/f-distribution/#IDF127B92261
29474191784C8167686F93_general/
Statistics.Laerd.com. (2013).
One-way ANOVA
statistics.laerd.com/statistical-guides/one-way-anova-statistical-guide.php
Excel-easy.com. (2010).
Anova
http://www.excel-easy.com/examples/anova.html
Mitchell, M.W. (1997, April 24).
The Effects of Embedded Question Type And Locus Of
Control On Processing Depth, Knowledge Gain, And Attitude Change In A Computer-
Based Interactive Video Environment