STATISTICS IN SPECTROSCOPY and

CHEMOMETRICS IN SPECTROSCOPY

Columns by Dr Howard Mark

 

1. "Statistics in Spectroscopy - Part 1 - Random Numbers or Real Data?"; H. Mark and J. Workman; Spectroscopy; 2(1), p.38-39 (1987)

2. "Statistics in Spectroscopy - Part 2 - Important Concepts from Probability Theory"; H. Mark and J. Workman; Spectroscopy; 2(2), p.60-64 (1987)

3. "Statistics in Spectroscopy - Part 3 - Populations and Samples: the Meaning of "Statistics""; H. Mark and J. Workman; Spectroscopy; 2(3), p.47-49 (1987)

4. "Statistics in Spectroscopy - Part 4 - Degrees of Freedom"; H. Mark and J. Workman; Spectroscopy; 2(5), p.52-57 (1987)

5. "Statistics in Spectroscopy - Part 5 - Introduction to Distributions and Probability Sampling"; J. Workman and H. Mark; Spectroscopy; 2(6), p.58-60 (1987)

6. "Statistics in Spectroscopy - Part 6 - The Normal Distribution"; H. Mark and J. Workman; Spectroscopy; 2(9), p.37-43 (1987)

7. "Statistics in Spectroscopy - Part 7 - Alternative Ways to Calculate Standard Deviation"; H. Mark and J. Workman; Spectroscopy; 2(11), p.38-42 (1987)

8. "Statistics in Spectroscopy - Part 8 - The Central Limit Theorem"; H. Mark and J. Workman; Spectroscopy; 3(1), p.44-48 (1988)

9. "Statistics in Spectroscopy - Part 9 - Synthesis of Variance"; J. Workman and H. Mark; Spectroscopy; 3(3), p.40-42 (1988)

10. "Statistics in Spectroscopy - Part 10 - Where Are We and Where Are We Going?"; J. Workman and H. Mark; Spectroscopy, 3(5), p.41-43 (1988)

11. "Statistics in Spectroscopy - Part 11 - More and Different Statistics"; H. Mark and J. Workman; Spectroscopy, 3(8), p.13-15 (1988)

12. "Statistics in Spectroscopy - Part 12 - The t Statistic"; H. Mark and J. Workman; Spectroscopy, 3(9), p.18-20 (1988)

13. "Statistics in Spectroscopy - Part 13 - Distribution of Means"; H. Mark and J. Workman; Spectroscopy, 3(9), p.40-43 (1988)

14. "Statistics in Spectroscopy - Part 14 - One- and Two- Tailed Tests"; Mark, H. and Workman, J.; Spectroscopy; 4(1), p.52-55 (1989)

15. "Statistics in Spectroscopy - Part 15 - Philosophical Interlude"; Mark, H. and Workman, J.; Spectroscopy; 4(2), p.55-57 (1989)

16. "Statistics in Spectroscopy - Part 16 - Biased and Unbiased Estimators"; Mark, H. and Workman, J.; Spectroscopy; 4(3), p.56-58 (1989)

17. "Statistics in Spectroscopy - Part 17 - The Variance of Variance"; Mark, H. and Workman, J.; Spectroscopy; 4(6), p.43-44 (1989)

18. "Statistics in Spectroscopy - Part 18 - Hypothesis Testing of Chi-Square"; Mark, H. and Workman, J.; - Spectroscopy; 4(7), p.53-54 (1989)

19. "Statistics in Spectroscopy - Part 19 - More Hypothesis Testing"; Mark, H. and Workman, J.; Spectroscopy; 4(8), p.65-66 (1989)

20. "Statistics in Spectroscopy - Part 20 - Statistical Inferences" Mark, H. and Workman, J.; Spectroscopy; 5(1), p.52-54 (1990)

21. "Statistics in Spectroscopy - Part 21 - How to Count" Mark, H. and Workman, J.; - Spectroscopy; 5(2), p.52-55 (1990)

22. "Statistics in Spectroscopy - Part 22 - And Still Counting" Mark, H. and Workman, J.; - Spectroscopy; 5(3), p.55-56 (1990)

23. "Statistics in Spectroscopy - Part 23 - Contingency Tables" Mark, H. and Workman, J. - Spectroscopy; 5(4), p.55-57 (1990)

24. "Statistics in Spectroscopy - Part 24 - What Do You Mean, Random?"; Mark, H. and Workman, J. - Spectroscopy; 5(7), p.48-52 (1990)

25. "Statistics in Spectroscopy - Part 25 - The F Statistic"; Mark, H. and Workman, J. - Spectroscopy; 5(8), p.53-55 (1990)

26. "Statistics in Spectroscopy - Part 26 - Precision and Accuracy: Introduction to Analysis of Variance"; Mark, H. and Workman, J. - Spectroscopy; 5(9), p.47-50 (1990)

27. "Statistics in Spectroscopy - Part 27 - Analysis of Variance and Statistical Design of Experiments"; Mark, H. and Workman, J. - Spectroscopy; 6(1), p.13-16 (1991)

28. "Statistics in Spectroscopy - Part 28 - Crossed and Nested Experiments"; Mark, H. and Workman, J. - Spectroscopy; 6(4), p.52-56 (1991)

29. "Statistics in Spectroscopy - Part 29 - Miscellaneous Considerations Regarding Analysis of Variance"; Mark, H. and Workman, J.; - Spectroscopy; 6 (July/August) p.40-44 (1991)

30. "Statistics in Spectroscopy - Part 30 - Pitfalls of Statistics"; Mark, H. and Workman, J.; - Spectroscopy; 6(7), p.42-44 (1991)

31. "Statistics in Spectroscopy - Part 31 - Pitfalls of Statistics Continued"; Mark, H. and Workman, J.; - Spectroscopy; 6(9), p.50-52 (1991)

32. "Statistics in Spectroscopy - Part 32 - Calibration in Spectroscopy"; Workman, J. and Mark, H.; - Spectroscopy; 7(1), p.44-46 (1992)

33. "Statistics in Spectroscopy - Part 33 - Calibration: Linear Regression as a Statistical Technique"; Workman, J. and Mark, H.; - Spectroscopy; 7(3) p.20-23 (1992)

34. "Statistics in Spectroscopy - Part 34 - Error Sources in Calibration"; Workman, J. and Mark, H.; - Spectroscopy; 7(4) p.12-14 (1992)

35. "Statistics in Spectroscopy - Part 35 - Selecting the Calibration samples"; Workman, J. and Mark, H.; - Spectroscopy; 7(6) p.16-18 (1992)

36. "Statistics in Spectroscopy - Part 36 - Developing the Calibration Model"; Workman, J. and Mark, H.; - Spectroscopy; 7(8) p.14-17 (1992)

37. "Statistics in Spectroscopy - Part 37 - Auxiliary Statistics for the Calibration Model"; Workman, J. and Mark, H.; - Spectroscopy; 7(9) p.14-19 (1992)

38. "Statistics in Spectroscopy - Part 38 - The Beginning"; Workman, J. and Mark, H.; - Spectroscopy; 8(1) p.12-15 (1993)

39. "Chemometrics in Spectroscopy - Part 1 - A New Beginning"; Mark, H. and Workman, J.; Spectroscopy; 8(4) p.12-15 (1993)

40. "Chemometrics in Spectroscopy - Part 2 - Elementary Matrix Algebra, Part 1"; Mark, H. and Workman, J.; Spectroscopy; 8(7) p.16-19 (1993)

41. "Chemometrics in Spectroscopy - Part 3 - Elementary Matrix Algebra, Part 2"; Workman, J. and Mark, H.; Spectroscopy; 8(8) p.16-18 (1993)

42. "Chemometrics in Spectroscopy - Part 4 - Matrix Algebra and Multiple Linear Regression, Part 1"; Workman, J. and Mark, H.; Spectroscopy; 8(9) p.16-20 (1993)

43. "Chemometrics in Spectroscopy - Part 5 - Matrix Algebra and Multiple Linear Regression, Part 2"; Workman, J. and Mark, H.; Spectroscopy; 9(1) p.16-29 (1994)

44. "Chemometrics in Spectroscopy - Part 6 - Matrix Algebra and Multiple Linear Regression, Part 3"; Workman, J. and Mark, H.; Spectroscopy; 9(4) p.18-19 (1994)

45. "Chemometrics in Spectroscopy - Part 7 - Matrix Algebra and Multiple Linear Regression: Conclusion"; Mark, H., and Workman, J.; Spectroscopy; 9(5) p.22-23 (1994)

46. "Chemometrics in Spectroscopy - Part 8 - Experimental Designs - Part 1"; Mark, H., and Workman, J.; Spectroscopy; 9(8) p.26-27 (1994)

47. "Chemometrics in Spectroscopy - Part 9 - Experimental Designs - Part 2"; Mark, H., and Workman, J.; Spectroscopy; 9(9) p.30-32 (1994)

48. "Chemometrics in Spectroscopy - Part 10 - Experimental Designs - Part 3"; Mark, H., and Workman, J.; Spectroscopy; 10(1), p.17-20 (1995)

49. "Chemometrics in Spectroscopy - Part 11 - Analytic Geometry, Part I"; Workman, J. and Mark, H.; Spectroscopy; 10(41), p.22-24 (1995)

50. "Chemometrics in Spectroscopy - Part 12 - Analytic Geometry, Part II"; Workman, J. and Mark, H.; Spectroscopy; 10(5), p.19 (1995)

51. "Chemometrics in Spectroscopy - Part 13 - Analytic Geometry, Part III"; Workman, J. and Mark, H.; Spectroscopy; 10(6), p.20-21 (1995)

52. "Chemometrics in Spectroscopy - Part 14 - Analytic Geometry, Part IV"; Workman, J. and Mark, H.,; Spectroscopy; 10(8), p.28-29 (1995)

53. "Chemometrics in Spectroscopy - Part 15 - Experimental Designs Part IV - Varying Parameters to Expand the Design"; Mark, H. and Workman, J.; Spectroscopy; 10(9), p.21-22 (1995)

54. "Chemometrics in Spectroscopy - Part 16 - Experimental Designs Part V - One-at-a-time Designs"; Mark, H. and Workman, J.; Spectroscopy; 11(2), p.43 (1996)

55. "Chemometrics in Spectroscopy - Part 17 - Experimental Designs Part VI - Sequential Designs"; Mark, H. and Workman, J.; Spectroscopy; 11(4), p.32-33 (1996)

56. "Chemometrics in Spectroscopy - Part 18 - Experimental Designs Part VII - β, The Power of a Test"; Mark, H. and Workman, J.; Spectroscopy; 11(6), p.30-31 (1996)

57. "Chemometrics in Spectroscopy - Part 19 - Experimental Designs Part VIII - β, The Power of a Test (Continued)"; Mark, H. and Workman, J.; Spectroscopy; 11(8), p.34 (1996)

58. "Chemometrics in Spectroscopy - Part 20 - Experimental Designs Part IX - Sequential Designs Concluded"; Mark, H. and Workman, J.; Spectroscopy; 12(2), p.28-31 (1997)

59. "Chemometrics in Spectroscopy - Part 21 - Calculating the Solution for Regression Techniques - Part I: Multivariate Regression Made Simple"; Workman, J. and Mark, H.; Spectroscopy; 12(5), p.32-36 (1997)

60. "Chemometrics in Spectroscopy - Part 22 - Calculating the Solution for Regression Techniques - Part II: Principal Component(s) Regression Made Simple"; Workman, J. and Mark, H.; Spectroscopy; 12(6), p.32-33 (1997)

61. "Chemometrics in Spectroscopy - Part 23 - Calculating the Solution for Regression Techniques - Part III: Partial Least Squares Regression Made Simple"; Workman, J. and Mark, H.; Spectroscopy; 12(9), p.36-37 (1997)

62. "Chemometrics in Spectroscopy - Part 24 - Looking Ahead and Behind"; Mark, H. and Workman, J.; Spectroscopy; 13(1), p.30-31 (1998)

63. "Chemometrics in Spectroscopy - Part 25 - A Simple Question"; Mark, H. and Workman, J.; Spectroscopy; 13(4), p.26-29 (1998)

64. "Chemometrics in Spectroscopy - Part 26 - Calculating the Solution for Regression Techniques - Part IV: Singular Value Decomposition"; Workman, J. and Mark, H.; Spectroscopy; 13(5), p.10-11 (1998)

65. "Chemometrics in Spectroscopy - Part 27 - Linearity in Calibration"; Mark, H. and Workman, J.; Spectroscopy; 13(6), p.19-21 (1998)

66. "Chemometrics in Spectroscopy - Part 28 - Challenges: Unsolved Problems in Chemometrics"; Mark, H. and Workman, J.; Spectroscopy; 13(10), p.11-15 (1998)

67. "Chemometrics in Spectroscopy - Part 29 - Linearity in Calibration - Act II Scene I"; Mark, H. and Workman, J.; Spectroscopy; 13(11), p.18-21 (1998)

68. "Chemometrics in Spectroscopy - Part 30 - Linearity in Calibration - Act II Scene II"; Mark, H. and Workman, J.; Spectroscopy; 14(1), p.16-17 (1999)

69. "Chemometrics in Spectroscopy - Part 31 - Linearity in Calibration - Act II Scene III"; Mark, H. and Workman, J.; Spectroscopy; 14(2), p.16-27,80 (1999)

70. "Chemometrics in Spectroscopy - Part 32 - Linearity in Calibration - Act II Scene IV"; Mark, H. and Workman, J.; Spectroscopy; 14(5), p.12-14 (1999)

71. "Chemometrics in Spectroscopy - Part 33 - Linearity in Calibration - Act II Scene V"; Mark, H. and Workman, J.; Spectroscopy; 14(6), p.12-14 (1999)

72. "Chemometrics in Spectroscopy - Part 34 - A Blueprint for Collaborative Laboratory Studies"; Workman, J. and Mark, H.; Spectroscopy; 15(1), p.16-25 (2000)

73. "Chemometrics in Spectroscopy - Part 35 - Using ANOVA for Collaborative Laboratory Studies, Part Two"; Workman, J. and Mark, H.; Spectroscopy; 15(2), p.28-29 (2000)

74. "Chemometrics in Spectroscopy - Part 36 - Testing for Systematic Error in Collaborative Laboratory Studies, Part Three"; Workman, J. and Mark, H.; Spectroscopy; 15(5), p.28-29 (2000)

75. "Chemometrics in Spectroscopy - Part 37 - Ranking Test for Collaborative Studies, Part Four"; Workman, J. and Mark, H.; Spectroscopy; 15(6), p.26-27 (2000)

76. "Chemometrics in Spectroscopy - Part 38 - Efficient Comparison of Two Methods for Collaborative Laboratory Studies, Part Four"; Workman, J. and Mark, H.; Spectroscopy; 15(7), p.16-19 (2000)

77. "Chemometrics in Spectroscopy - Part 39 - More About Collaborative Laboratory Studies, a Brief Recap and Additional Resources, Part Five"; Workman, J. and Mark, H.; Spectroscopy; 15(9), p.27 (2000)

78. "Chemometrics in Spectroscopy - Part 40 - Is Noise Brought by the Stork?: Analysis of Noise, Part 1"; Mark, H. and Workman, J.; Spectroscopy; 15(10), p.24-25 (2000)

79. "Chemometrics in Spectroscopy - Part 41 - Analysis of Noise, Part 2"; Mark, H. and Workman, J.; Spectroscopy; 15(11), p.20-23 (2000)

80. "Chemometrics in Spectroscopy - Part 42 - Analysis of Noise, Part 3"; Mark, H. and Workman, J.; Spectroscopy; 15(12), p.14-17 (2000)

81. "Chemometrics in Spectroscopy - Part 43 - Analysis of Noise, Part 4"; Mark, H. and Workman, J.; Spectroscopy; 16(2), p.44-52 (2001)

82. "Chemometrics in Spectroscopy - Part 44 - Analysis of Noise, Part 5"; Mark, H. and Workman, J.; Spectroscopy; 16(4), p.34-37 (2001)

83. "Chemometrics in Spectroscopy - Part 45 - Analysis of Noise, Part 6"; Mark, H. and Workman, J.; Spectroscopy; 16(5), p.20-24 (2001)

84. "Chemometrics in Spectroscopy - Part 46 - Analysis of Noise, Part 7"; Mark, H. and Workman, J.; Spectroscopy; 16(7), p.36-40 (2001)

85. "Chemometrics in Spectroscopy - Part 47 - Analysis of Noise, Part 8"; Mark, H. and Workman, J.; Spectroscopy; 16(11), p.36-40 (2001)

86. "Chemometrics in Spectroscopy - Part 48 - Analysis of Noise, Part 9"; Mark, H. and Workman, J.; Spectroscopy; 16(12), p.23-26 (2001)

87. "Chemometrics in Spectroscopy - Part 49 - Analysis of Noise, Part 10"; Mark, H. and Workman, J.; Spectroscopy; 17(1), p.42-49 (2001)

88. "Chemometrics in Spectroscopy - Part 50 - Analysis of Noise, Part 11"; Mark, H. and Workman, J.; Spectroscopy; 17(6), p.23-25 (2002)

89. "Chemometrics in Spectroscopy - Part 51 - Analysis of Noise, Part 12"; Mark, H. and Workman, J.; Spectroscopy; 17(10), p.38-41,56 (2002)

90. "Chemometrics in Spectroscopy - Part 52 - Analysis of Noise, Part 13"; Mark, H. and Workman, J.; Spectroscopy; 17(12), p.123-125 (2002)

91. "Chemometrics in Spectroscopy - Part 53 - Analysis of Noise, Part 14"; Mark, H. and Workman, J.; Spectroscopy; 18(1), p.38-43 (2003)

92. "Chemometrics in Spectroscopy - Part 54 - Derivatives in Spectroscopy, Part 1"; Mark, H. and Workman, J.; Spectroscopy; 18(4), p.32-37 (2003)