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Data Types and Distributions Dr Celia Gregson Consultant Senior Lecturer, Musculoskeletal Research Unit University of Bristol, UK Day 1; Monday 11 th #SAMSON19 www.theSAMSON.org

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Page 1: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original

Data Types and Distributions

Dr Celia Gregson

Consultant Senior Lecturer, Musculoskeletal Research Unit

University of Bristol, UK

Day 1; Monday 11th

#SAMSON19

www.theSAMSON.org

Page 2: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 3: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 4: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 5: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 6: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 7: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 8: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 9: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 10: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 11: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 12: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 13: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 14: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 15: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 16: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 17: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 18: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 19: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 20: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 21: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 22: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 23: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 24: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 25: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 26: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 27: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 28: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 29: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 30: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 31: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 32: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 33: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 34: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 35: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 36: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 37: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 38: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 39: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 40: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 41: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 42: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 43: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original

(2+2+3+3+3+5) / 6 = 3

3

3

Page 44: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 45: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 46: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 47: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 48: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 49: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 50: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 51: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 52: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 53: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 54: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 55: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 56: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 57: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 58: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 59: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 60: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 61: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 62: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 63: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 64: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 65: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 66: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 67: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 68: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 69: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 70: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 71: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 72: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 73: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 74: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 75: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 76: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 77: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 78: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 79: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 80: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 81: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 82: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 83: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 84: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 85: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 86: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 87: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 88: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 89: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 90: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original
Page 91: Data Types and Distributions - theSAMSON.org€¦ · This is the "antilog" of the sum of the logged observations divided by n The antilog is the exponential function "Transform" original

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Acoustics for the Hearing and Speech Sciences · viii Introduction to Sound: Acoustics for the Hearing and Speech Sciences one needs only to realize that “antilog 10 2 = ?” is