STAT210example14.16: STAT210example14.16: Tensile Strength of Paper

In thoree/stat340: Data and functions for BIAS at NMBU

STAT210example14.16: Tensile Strength of Paper

Description

A paper manufacturer was interested in the effect of three different pulp preparation methods and four different cooking temperatures on the tensile strength of the paper. The data shows the results of 36 runs in a factorial experiment to test the tensile strength of the paper.

Usage

STAT210example14.16

Format

A data frame with 36 observations (rows) and 4 variables (columns).

	Column name	Data type	Description	Values
[,1]	Temperature	factor	4 cooking temperature in °F	(200, 225, 250, 275)
[,2]	pulp_prep_method	factor	3 methods for pulp preparation	(1, 2, 3)
[,3]	replicate	factor	3 replicates for each temperature and method	(1, 2, 3)
[,4]	strength	integer	The tensile strength of the paper	(26 - 45)

Details

The experiment was performed as follows: A batch of pulp is produced by one of the three methods under study. Then this batch is divided into four samples, and each sample is cooked at one of the four temperatures. Then a second batch of pulp is made up using another of the three methods. This second batch is also divided into four samples that are tested at the four temperatures. The process is then repeated, until all three replicates (36 runs) of the experiment are obtained.

This data is from the split-plot design Table 14.16 in Design and Analysis of Experiments, 9th Edition, EMEA Edition.

Source

Montgomery, D. C. (2019) Design and Analysis of Experiments, 9th Edition, EMEA Edition. New York: Wiley.

Examples

# A short summary of the variables
summary(STAT210example14.16)

# Tensile strength for each method
boxplot(strength ~ pulp_prep_method, data = STAT210example14.16,
        col = "violetred3")

thoree/stat340 documentation built on June 30, 2024, 4:04 p.m.