A factorial design is a common type of experiment where there are two or more independent variables. This video demonstrates a 2 x 2 factorial design used to. Analysis of Variance | Chapter 8 | Factorial Experiments | Shalabh, IIT Kanpur. 1. Chapter 8 For example, the factorial experiment is conducted as an RBD. The production of fatty acid methyl esters, to be used as a diesel substitute (biodiesel), has been studied. The reaction of refined sunflower oil and methanol was  Average of factorial runs, Ym‎: ‎


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This framework can be generalized to, e. A factorial experiment allows for estimation of experimental error in two ways. The experiment can be replicatedor the sparsity-of-effects principle can often be exploited.

Factorial Design - Testing the Effect of Two or More Variables

Replication is more common for small experiments and is a very reliable way of assessing experimental error. When the number of factors is large typically more than about 5 factors, but this factorial design of experiments vary by applicationreplication of the design can become operationally difficult.

In these cases, it is common to only run a single replicate of the design, and to assume that factor interactions of more than a certain order say, between three or more factors are negligible.

Under this assumption, estimates of such high order interactions are estimates of an exact zero, thus really an estimate of experimental error.

When there are many factors, many experimental runs will factorial design of experiments necessary, even without replication. At some point this becomes infeasible due to high cost or insufficient resources. In this case, the dependent variable is the accuracy of decoding the nonverbal communication.

Because of the design complexity, several hypotheses are generated. The main effect hypotheses—those that focus on the effect of a single independent variable—are that those in the high levels of each condition will factorial design of experiments more accurate judges of eye expressions than those in the low level groups.


Before the participant arrives, randomly organize packets with each of the four combinations of conditions to ensure that group assignments are entirely based on chance. To begin the experiment, meet the participant in the lab. Provide them with informed consent, a brief description of the research, sense of the procedure, the potential risks and benefits of participating, and the right to withdrawal at factorial design of experiments time.

Depending on the assigned self-awareness condition, instruct the participant to sit in front of a one-way mirror, with blinds open and their reflection visible or closed to prevent self-reflection, to take a quiz.

Next, give each participant a sheet with 50 spaces on it and ask them to list as many countries in Europe as they can in the next 2 min.

After indicating to the participant that you are analyzing their results compared to past participants, provide feedback to them on a sheet of paper based on their randomly assigned condition. Then, sit the participant in front of a computer to take another quiz, which asks the participant to discern facial expressions based on ambiguous eye images.

To conclude the experiment, debrief participants by telling them the nature of the study, as well as why the true purpose of the study could not be revealed beforehand.

To analyze how self-esteem and self-awareness influence the ability to decipher nonverbal expressions, average the eye interpretation quiz scores in each group and plot the means by conditions.

Factorial experiments

To determine if group differences were found, perform a two-way ANOVA to reveal factorial design of experiments main or interaction effects. In this case, the effect on self-awareness depends on the level of self-esteem. Contrary to the hypothesized pattern, notice that participants with high self-awareness and low self-esteem were more accurate at deciphering nonverbal expressions.

However, when exposed to low self-awareness, participants were more accurate when they had high self-esteem.

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In one study, potentiation of the startle reflex was measured during factorial design of experiments low or high probability of receiving an electric shock. Another independent variable, such as the administration of alcohol or placebo, allows for the investigation into how shock level and alcohol influence the startle response.

In another example, consider how different levels of stress could interact with the type of exercise performed.

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