A package engineer needs to ensure that the seals on plastic bags that hold a product are strong enough to prevent leaks, yet not so strong that the consumer cannot open the bags. The engineer wants to optimize the seal strength to between 24 and 28 lbs (lower and upper bounds) with a target of 26 lbs. The engineer also wants to minimize the variability of seal strength so that it is 1 or less. The engineer determines that hot bar temperature, dwell time, hot bar pressure, and material temperature are factors that contribute to the strength of the seal. The engineer also determines that hot bar temperature and dwell time are important factors for reducing the variation. The engineer designs a central composite response surface experiment to examine the factors that impact the strength and variability of the seal.
The engineer collects data and analyzes the design to determine which factors impact seal strength.
Choose Stat > DOE > Response Surface > Analyze Response Surface Design.
In Responses, enter Strength.
Under Residual Plots, select Four in one.
Click OK in each dialog box.
Interpret the results
In the Analysis of Variance table, the p-values for the HotBarT*HotBarT, DwelTime*DwelTime, and HotBarT*DwelTime are significant. The engineer can consider reducing the model to remove the terms that are not significant. For more information, go to Model reduction.
The R2 value shows that the model explains 78.58% of the variance in strength, which indicates that the model fits the data adequately. The predicted R2 of 0 suggests that this model is overfit, which supports reducing the model.
The Pareto plot of the effects allow you to visually identify the important effects and compare the relative magnitude of the various effects. In addition, you can see that the largest effect is HotBarT*DwelTime (AB) because it extends the farthest.
In the residuals plots, the points on the normal probability plot do not follow the straight line. Reducing the model may fix this.