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Chapters  10-12 Between-Subjects, within-subjects, and factorial Chapters  10-12 Between-Subjects, within-subjects, and factorial

Chapters 10-12 Between-Subjects, within-subjects, and factorial - PowerPoint Presentation

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Chapters 10-12 Between-Subjects, within-subjects, and factorial - PPT Presentation

Experimental Designs Conducting Experiments BetweenSubjects Design Betweensubjects design Different participants are observed one time in each group or at each level of a factor Betweensubjects experimental design Levels of a betweensubjects factor are manipulated then different pa ID: 640215

participants design factor group design participants group factor levels subjects groups related factors observed samples manipulation control independent time

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Slide1

Chapters 10-12

Between-Subjects, within-subjects, and factorial

Experimental DesignsSlide2

Conducting Experiments: Between-Subjects Design

Between-subjects design – Different participants are observed one time in each group or at each level of a factor

Between-subjects experimental design – Levels of a between-subjects factor are manipulated, then different participants are randomly assigned to each group or to each level of that factor, and observed one

timeSlide3

Conducting Experiments: Between-Subjects Design

Control: (a) the manipulation of a variable and (b) holding all other variables constant

Experimental or treatment group: Participants are treated or exposed to a manipulation, or level of the IV, that is believed to cause a change in the DV

Control group: Participants are treated the same as those in an experimental group, except that the manipulation is omitted

Placebo: An inert substance, surgery, or therapy that resembles a real treatment but has no real effectSlide4

Manipulation and the Independent Variable

Experimental

manipulation

Natural manipulation: Manipulation of a stimulus that can be naturally changed with little effort

Typically involves manipulation of a physical stimulus

Ex

. Dimmed or brightly lit room, soft or loud sounds

Staged manipulation: Manipulation of an IV that requires the participant to be “set up” to experience some stimulus or event

Often requires the help of a confederate

Confederate:

Coresearcher

in cahoots with the researcherSlide5

Manipulation and the Independent VariableSlide6

Manipulation and the Independent Variable

Random assignment and control

Random assignment: Procedure used to ensure that each participant has the same likelihood of being selected to a given group

Can be confident that any differences observed between groups can be attributed to the different levels of the IV and not individual

differences

Restricted measures of control

Restricted random assignment: Restricting a sample based on known participant characteristics, then using a random procedure to assign participants to each group

Control by matching

Control by holding constantSlide7

Manipulation: Control By MatchingSlide8

Overlap and Identifying ErrorSlide9

Comparing Samples

Selecting Two Independent Samples

Independent sample: Different participants are independently observed one time in each group

Selecting multiple independent samplesSlide10

Comparing Independent Samples

The use of the test

statistic

Independent-Samples T-test for factor with 2 levels

One-way

between subjects ANOVA:

one

factor with two or more levels concerning the variance among group means

Post hoc

test: Computed following a significant ANOVA to determine which pair(s) of group means significantly differ

These tests are needed with more than two groups because multiple comparisons must be

madeSlide11

Advantages and Disadvantages of the Between-Subjects Design

Advantages

It is the only design that

can include all three:

random assignment,

manipulation, inclusion of a comparison/control

group

Disadvantages

Sample size required can be large, particularly with many groupsSlide12

Conducting Experiments: Within-Subjects Design

Within-subjects design, also called a repeated-measures design – Design in which the same participants are observed one time in each group of a research study

Within-subjects experimental design – The levels of a within-subjects factor are manipulated, then the same participants are observed in each group or at each level of the

factorSlide13

Conducting Experiments: Within-Subjects Design

Two common reasons that researchers observe the same participants in each group are as follows:

1. To manage sample size

2. To observe changes in behavior over time, which is often the case for studies on learning or within–participant changes over time

The within-subjects experimental design does not meet the randomization requirement for demonstrating cause and effect

Because the participants are observed in each group, we cannot use random assignment, therefore do not use randomizationSlide14

Controlling Time-Related Factors

Time-related factors must be controlled or made the same between groups, such that only the levels of the IV are different between groups

Time related factors include those introduced in chapter 6, such as maturation, testing effect, regression toward the mean, and attrition

Participant fatigue: State of physical or psychological exhaustion resulting from intense research demands typically due to observing participants too often, or requiring participants to engage in research activities that are too demandingSlide15

Controlling Time-Related Factors

To control for time-related factors, researchers make efforts to control for order effects

Order effects: A threat to internal validity in which the order in which participants receive different treatments or participate in different groups causes changes in a DV

Carryover effects: A threat to internal validity in which participation in one group “carries over” or causes changes in performance in a second group

Two strategies to control for order effects are to control order and control timing Slide16

Controlling Time-Related Factors

Counterbalancing – The order in which participants receive different treatments or participate in different groups is balanced or offset in an experiment

1. Complete

counterbalancing

(K!)

2. Partial counterbalancing

Left

Right

Center

Left

Center

Right

Right

Left

Center

Right

Center

Left

Center

Left

Right

Center

Right

LeftSlide17

Controlling Time-Related FactorsSlide18

Individual Differences and Variability

Individual differences

The within-subjects design minimizes individual differences between groups because the same participants are observed in each group

When the same participants are observed in each group, the individual differences of participants are also the same in each groupSlide19

Individual Differences and Variability

Sources of variability

Between-groups variability: Source of variance in a dependent measure that is caused by or associated with the manipulation of the levels (or groups) of an IV

This variability is measured by the group meansSlide20

Individual Differences and VariabilitySlide21

Comparing Two Related SamplesSelecting two related samples

Related sample, also called a dependent sample: The same or matched participants are observed in each group

There are two ways to select two related samples:

1. The same participants are observed in each group

2. Participants are matched, experimentally or naturally, based on the common characteristics or traits that they shareSlide22

Comparing Two Related Samples

The use of the test statistic

Test statistic: Mathematical formula that allows us to determine whether the manipulation or error variance is likely to explain differences between the groups

Related-samples

t

test, also called a paired-samples

t

test: Statistical procedure used to test hypotheses concerning the difference in interval or ratio scale data for two related samples in which the variance in one population is unknown

t

= Mean differences between groups

Mean differences attributed to errorSlide23

Comparing Two Related SamplesSlide24

Comparing Two or More Related Samples

Selecting multiple related samples

Only the repeated-measures design can be used to observe participants in more than two groupsSlide25

Comparing Two or More Related Samples

The use of the test statistic

One-way within-subjects analysis of variance (ANOVA): Statistical procedure used to test hypotheses for one factor with two or more levels concerning the variance among group means. This test is used when the same participants are observed at each level of a factor and the variance in a given population is unknown

F = Variability between groups

Variability attributed to

errorSlide26

Comparing Two or More Related SamplesSlide27

Testing Multiple Factors in the Same Experiment

Factorial design – Research design in which participants are observed across the combination of levels of two or more factors

In stats class, this was referred to as Two-Way ANOVA (or more)Slide28

Testing Multiple Factors in the Same Experiment

Factorial experimental design – Research design in which groups are created by manipulating the levels of two or more factors (can be between-, within- and mixed-design)

Completely crossed design: A factorial design in which each level of one factor is combined or crossed with each level of the other factor, with participants observed in each cell or combination of levelsSlide29

Selecting Samples for a Factorial Design in Experimentation

We select ONE sample from a population, then randomly assign the same or different participants to groups created by combining the levels of two or more factors or IVs

Create the groups by combining the levels of each IV

Identify a factorial design by the number of levels for each factor

Then assign participants to groupsSlide30

Selecting Samples for a Factorial Design in Experimentation

Decaf

Reg

Coffee

Easy Task

Difficult Task

Easy Task

Difficult Task

Decaf

Reg

Coffee WaterSlide31

Types of Factorial Designs

Between-subjects design – Levels of two or more between-subjects factors are combined to create groups, meaning that different participants are observed in each group

Ex. Researchers recorded how well participants comprehended a passage that varied by type of highlighting and text difficulty (

Gier

,

Kreiner

, &

Natz

-Gonzalez, 2009)Slide32

Types of Factorial Designs

Within-subjects design – Levels of two or more within-subjects factors are combined to create groups, meaning that the same participants are observed in each

groupSlide33

Types of Factorial DesignsMixed factorial design – Different participants are observed at each level of a between-subjects factor and also repeatedly observed across the levels of the within-subjects factorSlide34

Main Effects and Interactions

Two-way analysis of variance (ANOVA) – Statistical procedure used to analyze the variance in a DV between groups created by combining the levels of two factors

F = Variability between groups

Variability

attributed to error

The

test statistic can also be used in quasi-experiments however, because the quasi-experiment does not methodologically control for individual differences, the design cannot demonstrate cause and effectSlide35

Main Effects and Interactions

Two-way factorial design – Research design in which participants are observed in groups created by combining or crossing the levels of two factors

Using this design we can identify three sources of variation:

Main Effect for Factor A

Main Effect for Factor B)

I

nteraction Effect (the combination of levels of Factors A and BSlide36

Main Effects and Interactions

Main effects – Source of variation associated with mean differences across the levels of a single factor

A significant main effect indicates that group means significantly vary across the levels of one factor, independent of the second factor

Interactions – Source of variation associated with how the effects of one factor are influenced by, or depend on, the levels of a second factor

A significant interaction indicates that group means significantly vary across the combined levels of two factors

In a table summary, an interaction is a measure of how cell means at each level of one factor change across the levels of a second factorSlide37

Identifying Main Effects and Interactions in a Graph

Even if a graph shows a possible main effect or interaction, the use of a test statistic is still needed to determine whether it is significant

Graphing only main effects

We would observe changes at the levels of one factor, independent of the changes in a second factor

When significant, look at the row and column means to describe the effectSlide38

Including Quasi-Independent Factors in an Experiment

The factorial design can be used when we include preexisting or quasi-independent factors

Participant variable – A quasi-independent or preexisting variable that is related to or characteristic of the personal attributes of a participant

Typically demographic characteristics (ex. age, gender)

An effect of a quasi-independent variable shows that the factor is related to changes in a DV

It does not demonstrate cause and effect because the factor is preexisting