Graphical Tools - SigmaXL Version 6.1

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1 Graphical Tools - SigmaXL Version 6.1 Basic and Advanced (Multiple) Pareto Charts Multiple Boxplots and Dotplots EZ-Pivot/Pivot Charts Multiple Normal Probability Plots (with 95% confidence intervals to ease interpretation of normality/non-normality) Run Charts (with Nonparametric Runs Test allowing you to test for Clustering, Mixtures, Lack of Randomness, Trends and Oscillation.) Multi-Vari Charts Basic Histogram Multiple Histograms and Descriptive Statistics (includes Confidence Interval for Mean and StDev., as well as Anderson-Darling Normality Test) Scatter Plots (with linear regression and optional 95% confidence intervals and prediction intervals) Multiple Histograms and Process Capability (Pp, Ppk, Cpm, ppm, %) Scatter Plot Matrix

2 Ordertakestoo-long Returncalls Difficultto-order Wrongcolor Notavailable Ordertakestoo-long Returncalls Difficultto-order Wrongcolor Notavailable Ordertakestoo-long Count Count Returncalls Difficultto-order Wrongcolor Notavailable Ordertakestoo-long Returncalls Difficultto-order Wrongcolor Notavailable Count Count Multiple Pareto Charts % 9% 8% 7% 6% 5% % 3% % 1% % % 9% 8% 7% 6% 5% % 3% % 1% % Customer Type - Customer Type: # 1 - Size of Customer: Large Customer Type - Customer Type: # - Size of Customer: Large % 9% 8% 7% 6% 5% % 3% % 1% % % 9% 8% 7% 6% 5% % 3% % 1% % Customer Type - Customer Type: # 1 - Size of Customer: Small Customer Type - Customer Type: # - Size of Customer: Small

3 EZ-Pivot/Pivot Charts The power of Excel s Pivot Table and Charts are now easy to use! Size of Customer (All) 7 Count of Major-Complaint Customer Type Difficult-to-order Not-available Order-takes-too-long Return-calls Wrong-color Major-Complaint

4 Run Chart - Avg days Order to delivery time Run Charts with Nonparametric Runs Test Median:

5 Frequency Basic Histogram Count = 1 Mean = 3.53 Stdev =.931 Minimum = 1 5th Percentile (Q1) = 3 5th Percentile (Median) = 95% CI Mean = to % CI Sigma = to Anderson-Darling Normality Test: A-Squared = Loyalty - Likely to Recommend

6 Multiple Histograms & Descriptive Statistics 1 - Customer Type: Count = 31 Mean = Stdev =.868 Range = 3.1 Minimum = 1.7 5th Percentile (Q1) =.81 5th Percentile (Median) = th Percentile (Q3) =. Maximum =.8 95% CI Mean = 3.9 to % CI Sigma =.6591 to Customer Type: 1 Anderson-Darling Normality Test: A-Squared =.31776; P-value = Customer Type: 1 8 Count = Mean =.5 Stdev =.61 Range =.6 6 Minimum =. 5th Percentile (Q1) = th Percentile (Median) =.3 75th Percentile (Q3) =.75 Maximum =.98 - Customer Type: 95% CI Mean =.1 to. 95% CI Sigma = to.7913 Anderson-Darling Normality Test: A-Squared =.8659; P-value =.3

7 Multiple Histograms & Process Capability Histogram and Process Capability Report Room Service Delivery Time: Before Improvement (Baseline) Count = 75 Mean = 6.36 Stdev (Overall) = USL = 1; Target = ; LSL = LSL = -1 Target = USL = 1 Capability Indices using Overall Standard Deviation Pp =.7 Ppu =.19; Ppl =.7 Ppk =.19 Cpm =.36 Sigma Level = Expected Overall Performance ppm > USL = ppm < LSL = 17.5 ppm Total = % > USL = 8.8% % < LSL = 1.7% % Total = 3.11% Actual (Empirical) Performance % > USL = 6.9% % < LSL = 1.38% % Total = 8.8% Delivery Time Deviation Anderson-Darling Normality Test A-Squared =.78616; P-value = Histogram and Process Capability Report Room Service Delivery Time: After Improvement LSL = -1 Target = USL = 1 Count = 75 Mean =.973 Stdev (Overall) =.3856 USL = 1; Target = ; LSL = -1 Capability Indices using Overall Standard Deviation Pp = 1. Ppu = 1.38; Ppl = 1.1 Ppk = 1.38 Cpm = 1. Sigma Level = Expected Overall Performance ppm > USL = 16.5 ppm < LSL = 11.5 ppm Total = 8.1 % > USL =.% % < LSL =.% % Total =.% Delivery Time Deviation Actual (Empirical) Performance % > USL =.% % < LSL =.% % Total =.% Anderson-Darling Normality Test A-Squared =.18993; P-value =.8991

8 Multiple Boxplots Customer Type - Size of Customer: Large Customer Type - Size of Customer: Small

9 NSCORE NSCORE Multiple Normal Probability Plots Customer Type: Customer Type:

10 Standard Deviation (Mean Options) Multi-Vari Charts # 1 # # # 1 # # # 1 # # # 1 # # 3 Customer Type - Size of Customer: Large - Product Type: Consumer Customer Type - Size of Customer: Small - Product Type: Consumer Customer Type - Size of Customer: Large - Product Type: Manufacturer Customer Type - Size of Customer: Small - Product Type: Manufacturer # 1 # # 3. # 1 # # 3. # 1 # # 3. # 1 # # 3 Customer Type - Size of Customer: Large - Product Type: Consumer Customer Type - Size of Customer: Small - Product Type: Consumer Customer Type - Size of Customer: Large - Product Type: Manufacturer Customer Type - Size of Customer: Small - Product Type: Manufacturer

11 Multiple Scatterplots with Linear Regression y =.538x R = y =.5639x R = Responsive to Calls - Customer Type: Responsive to Calls - Customer Type: Linear Regression with 95% Confidence Interval and Prediction Interval

12 Staff Knowledge Staff Knowledge Staff Knowledge Ease of Communications Ease of Communications Ease of Communications Responsive to Calls Responsive to Calls Responsive to Calls Scatterplot Matrix y =.567x R = y =.6x R = y =.555x R = Responsive to Calls Ease of Communications Staff Knowledge 5.. y = 1.1x R = y =.73x R = y =.893x R = Ease of Communications Staff Knowledge. 3. y =.868x +.78 R = y =.33x R = y =.8x R = Responsive to Calls Staff Knowledge y =.155x R = y =.799x R = y =.599x R = Responsive to Calls Ease of Communications