Carry Over Effect Calculator

Formula

The formula to calculate the Carry Over Effect (COE) is:

\[ \text{COE} = (M_{TBTA} - M_{TBC}) - (M_{CTA} - M_{CC}) \]

Where:

\(\text{COE}\) is the carry over effect
\(M_{TBTA}\) is the mean of Treatment B after Treatment A
\(M_{TBC}\) is the mean of Treatment B after Control
\(M_{CTA}\) is the mean of Control after Treatment A
\(M_{CC}\) is the mean of Control after Control

What is Carry Over Effect?

The carry over effect refers to the influence that a previous treatment or condition has on the response to a subsequent treatment or condition. This effect is particularly important in crossover studies where subjects receive multiple treatments in a sequence. The carry over effect can confound the results of the study if not properly accounted for, as it may cause the effects of the previous treatment to persist and affect the outcomes of the subsequent treatment. Understanding and calculating the carry over effect is crucial for accurate interpretation of experimental data.

Example Calculation

Let's assume the following values:

Mean of Treatment B after Treatment A (M_TBTA) = 5
Mean of Treatment B after Control (M_TBC) = 3
Mean of Control after Treatment A (M_CTA) = 4
Mean of Control after Control (M_CC) = 2

Using the formula to calculate the Carry Over Effect:

\[ \text{COE} = (5 - 3) - (4 - 2) = 2 - 2 = 0 \]

The Carry Over Effect is 0.