advertisement

Obtaining Summary Statistics and Plots by Treatment Groups in EXCEL Data Format • Data are in a Block of (n+1) rows and (f+m) columns where: – – – – Variable labels are in row 1 Data on n units are in rows 2:n+1 f Columns of factor levels (one column per factor) m Columns of response measurements (one column for each response variable) • For this presentation, we will assume – n=24 – f = 2 (With Factor A at 2 Levels, B at 3 Levels) – m = 2 Response Variables (X , Y) Data Layout Row 1 Row 25 Factor A Factor B 1 1 1 1 1 1 1 1 1 2 1 2 1 2 1 2 1 3 1 3 1 3 1 3 2 1 2 1 2 1 2 1 2 2 2 2 2 2 2 2 2 3 2 3 2 3 2 3 X 76.54 78.02 79.26 78.82 99.26 95.14 95.33 97.15 117.24 118.72 116.16 116.89 85.50 89.58 87.75 85.74 106.92 109.82 109.26 105.10 129.65 126.98 125.37 127.80 Y 539.43 556.10 553.53 542.07 564.42 569.95 576.09 571.91 594.91 599.49 604.30 602.08 523.72 514.91 520.08 520.14 534.14 539.98 550.64 534.95 565.16 562.24 570.77 575.81 Data in Columns A-D Highlight the data, then click: • Insert • Name • Define • type in a name (e.g. expdat) • OK Obtaining Summaries for 1 Factor (I) • Go to cells outside the range of the data (different columns) • Type in the Factor label in as many cells in a row as there are levels • In the cells below them, enter the factor levels • Example: Factor B has 3 levels Column G Row 1 Row 2 Column H Column I Factor B Factor B Factor B 1 2 3 Obtaining Summaries for 1 Factor (II) Column F, Row 1 For Summaries of X, In cell G3, Type: • =DCOUNT(expdat,”X”,G1:G2) Copy/Paste G3 to Cells H3,I3 Factor B Factor B Factor B 1 2 3 n Mean Variance Std Dev Min Max Repeat for the following cells/commands: • G4: =DAVERAGE(expdat,”X”,G1:G2) • G5: =DVAR (expdat,”X”,G1:G2) • G6: =DSTDEV (expdat,”X”,G1:G2) • G7: =DMIN (expdat,”X”,G1:G2) • G8: =DMAX (expdat,”X”,G1:G2) The first element in each command is the database (could have entered $A$1:$D$25 instead), the second element is the variable to be analyzed, the third is the criteria (e.g. Factor B at Level 1) Obtaining Summaries for 1 Factor (III) Factor B Factor B Factor B 1 2 3 n 8 8 8 Mean 82.65 102.25 122.35 Variance 25.24 38.54 31.57 Std Dev 5.02 6.21 5.62 Min 76.54 95.14 116.16 Max 89.58 109.82 129.65 Obtaining Summaries for Combinations of Levels of 2 Factors (I) • List the 2 Factor names in 2 side-by-side cells • Below them enter their factor levels (There will be ab pairs of cells Column G Row 11 Row 12 H I J K L M N O P Q R Factor A Factor B Factor A Factor B Factor A Factor B Factor A Factor B Factor A Factor B Factor A Factor B 1 1 1 2 1 3 2 1 2 2 2 3 Obtaining Summaries for Combinations of Levels of 2 Factors (II) • Similar to process for levels of one factor, except criteria are in pairs of columns. • Put Results in (say) the righthand of the 2 columns • In cell H13, type: =DCOUNT(expdat,”X”,G11:H12) • Copy and Paste cells G13:H13 to cells I13:R13 • Repeat Process for mean, variance, etc Obtaining Summaries for Combinations of Levels of 2 Factors (II) Factor A Factor B Factor A Factor B Factor A Factor B Factor A Factor B Factor A Factor B Factor A Factor B 1 1 1 2 1 3 2 1 2 2 2 3 n 4 4 4 4 4 4 Mean 78.16 96.72 117.25 87.14 107.77 127.45 Variance 1.44 3.68 1.16 3.67 4.76 3.17 Std Dev 1.20 1.92 1.08 1.92 2.18 1.78 To obtain a “factor effect/interaction” plot: • List the factor levels of the factor with most levels in a column • In successive columns give the means for the combinations of that factor’s level and the various levels of the other factor Factor B 1 2 3 A1 78.16 96.72 117.25 A2 87.14 107.77 127.45 Factor Effect/Interaction Plot Highlight the entire field on previous slide, then click on: • Chart Wizard •XY(Scatter) • Series in Columns • Picture with points and jagged (not smooth) lines • Complete Dialog Box (Select separate chart window) • Experiment with format by right clicking on parts of graph and formatting. • Copy and Paste into word processor 140.00 120.00 Mean of X 100.00 80.00 A1 A2 60.00 40.00 20.00 0.00 0 0.5 1 1.5 Factor B Level 2 2.5 3 3.5 140.00 130.00 120.00 Mean of X 110.00 A1 100.00 A2 90.00 80.00 70.00 60.00 0 1 2 Factor B Level 3 4