NAME: fishcatch TYPE: Sample SIZE: 159 observations, 8 variables DESCRIPTIVE ABSTRACT: 159 fishes of 7 species are caught and measured. Altogether there are 8 variables. All the fishes are caught from the same lake (Laengelmavesi) near Tampere in Finland. SOURCES: Brofeldt, Pekka: Bidrag till kaennedom on fiskbestondet i vaera sjoear. Laengelmaevesi. T.H.Jaervi: Finlands Fiskeriet Band 4, Meddelanden utgivna av fiskerifoereningen i Finland. Helsingfors 1917 VARIABLE DESCRIPTIONS: 1 Obs Observation number ranges from 1 to 159 2 Species (Numeric) Code Finnish Swedish English Latin 1 Lahna Braxen Bream Abramis brama 2 Siika Iiden Whitewish Leusiscus idus 3 Saerki Moerten Roach Leuciscus rutilus 4 Parkki Bjoerknan ? Abramis bjrkna 5 Norssi Norssen Smelt Osmerus eperlanus 6 Hauki Jaedda Pike Esox lucius 7 Ahven Abborre Perch Perca fluviatilis 3 Weight Weight of the fish (in grams) 4 Length1 Length from the nose to the beginning of the tail (in cm) 5 Length2 Length from the nose to the notch of the tail (in cm) 6 Length3 Length from the nose to the end of the tail (in cm) 7 Height% Maximal height as % of Length3 8 Width% Maximal width as % of Length3 9 Sex 1 = male 0 = female ___/////___ _ / \ ___ | /\ \_ / / H < ) __) \ | \/_\\_________/ \__\ _ |------- L1 -------| |------- L2 ----------| |------- L3 ------------| Values are aligned and delimited by blanks. Missing values are denoted with NA. There is one data line for each case. SPECIAL NOTES: I have usually calculated Height = Height%*Length3/100 Widht = Widht%*Length3/100 PEDAGOGICAL NOTES: I have mainly used only Species=7 (Perch) and here is some of the models and test, we have used Weight=a+b*(Length3*Height*Width)+epsilon Ho: a=0; Heteroscedastic case. Question: What is proper weighting, if you use Length3 as a weighting variable. Log(Weight)=a+b1*Length3+epsilon Weight^(1/3)=a+b1*Length3+epsilon (Given by Box-Cox-transformation) Ho: a=0; Log(Weight)=a+b1*Length3+b2*Height+b3*Width+epsilon Ho: b1+b2+b3=3; i.e. dimension of the fish = 3 Weight^(1/3)=a+b1*Length3+b2*Height+b3*Width+epsilon (Given by Box-Cox-transformation) Ho: a=0; Weight=a*Length3^b1*Height^b2*Width^b3+epsilon Nonlinear, heteroscedastic case. What is proper weighting? Is obs 143 143 7 840.0 32.5 35.0 37.3 30.8 20.9 0 an outlier? It had in its stomach 6 roach. REFERENCES: Brofeldt, Pekka: Bidrag till kaennedom on fiskbestondet i vaara sjoear. Laengelmaevesi. T.H.Jaervi: Finlands Fiskeriet Band 4, Meddelanden utgivna av fiskerifoereningen i Finland. Helsingfors 1917 SUBMITTED BY: Juha Puranen Departement of statistics PL33 (Aleksanterinkatu 7) 000014 University of Helsinki Finland e-mail: jpuranen@noppa.helsinki.fi 1 1 242.0 23.2 25.4 30.0 38.4 13.4 NA 2 1 290.0 24.0 26.3 31.2 40.0 13.8 NA 3 1 340.0 23.9 26.5 31.1 39.8 15.1 NA 4 1 363.0 26.3 29.0 33.5 38.0 13.3 NA 5 1 430.0 26.5 29.0 34.0 36.6 15.1 NA 6 1 450.0 26.8 29.7 34.7 39.2 14.2 NA 7 1 500.0 26.8 29.7 34.5 41.1 15.3 NA 8 1 390.0 27.6 30.0 35.0 36.2 13.4 NA 9 1 450.0 27.6 30.0 35.1 39.9 13.8 NA 10 1 500.0 28.5 30.7 36.2 39.3 13.7 NA 11 1 475.0 28.4 31.0 36.2 39.4 14.1 NA 12 1 500.0 28.7 31.0 36.2 39.7 13.3 NA 13 1 500.0 29.1 31.5 36.4 37.8 12.0 NA 14 1 NA 29.5 32.0 37.3 37.3 13.6 1 15 1 600.0 29.4 32.0 37.2 40.2 13.9 1 16 1 600.0 29.4 32.0 37.2 41.5 15.0 NA 17 1 700.0 30.4 33.0 38.3 38.8 13.8 1 18 1 700.0 30.4 33.0 38.5 38.8 13.5 NA 19 1 610.0 30.9 33.5 38.6 40.5 13.3 NA 20 1 650.0 31.0 33.5 38.7 37.4 14.8 NA 21 1 575.0 31.3 34.0 39.5 38.3 14.1 1 22 1 685.0 31.4 34.0 39.2 40.8 13.7 NA 23 1 620.0 31.5 34.5 39.7 39.1 13.3 NA 24 1 680.0 31.8 35.0 40.6 38.1 15.1 NA 25 1 700.0 31.9 35.0 40.5 40.1 13.8 NA 26 1 725.0 31.8 35.0 40.9 40.0 14.8 1 27 1 720.0 32.0 35.0 40.6 40.3 15.0 NA 28 1 714.0 32.7 36.0 41.5 39.8 14.1 NA 29 1 850.0 32.8 36.0 41.6 40.6 14.9 NA 30 1 1000.0 33.5 37.0 42.6 44.5 15.5 0 31 1 920.0 35.0 38.5 44.1 40.9 14.3 0 32 1 955.0 35.0 38.5 44.0 41.1 14.3 NA 33 1 925.0 36.2 39.5 45.3 41.4 14.9 1 34 1 975.0 37.4 41.0 45.9 40.6 14.7 0 35 1 950.0 38.0 41.0 46.5 37.9 13.7 NA 36 2 270.0 23.6 26.0 28.7 29.2 14.8 NA 37 2 270.0 24.1 26.5 29.3 27.8 14.5 NA 38 2 306.0 25.6 28.0 30.8 28.5 15.2 NA 39 2 540.0 28.5 31.0 34.0 31.6 19.3 NA 40 2 800.0 33.7 36.4 39.6 29.7 16.6 0 41 2 1000.0 37.3 40.0 43.5 28.4 15.0 NA 42 3 40.0 12.9 14.1 16.2 25.6 14.0 NA 43 3 69.0 16.5 18.2 20.3 26.1 13.9 NA 44 3 78.0 17.5 18.8 21.2 26.3 13.7 NA 45 3 87.0 18.2 19.8 22.2 25.3 14.3 NA 46 3 120.0 18.6 20.0 22.2 28.0 16.1 NA 47 3 0.0 19.0 20.5 22.8 28.4 14.7 NA 48 3 110.0 19.1 20.8 23.1 26.7 14.7 0 49 3 120.0 19.4 21.0 23.7 25.8 13.9 0 50 3 150.0 20.4 22.0 24.7 23.5 15.2 0 51 3 145.0 20.5 22.0 24.3 27.3 14.6 0 52 3 160.0 20.5 22.5 25.3 27.8 15.1 0 53 3 140.0 21.0 22.5 25.0 26.2 13.3 NA 54 3 160.0 21.1 22.5 25.0 25.6 15.2 0 55 3 169.0 22.0 24.0 27.2 27.7 14.1 NA 56 3 161.0 22.0 23.4 26.7 25.9 13.6 NA 57 3 200.0 22.1 23.5 26.8 27.6 15.4 0 58 3 180.0 23.6 25.2 27.9 25.4 14.0 NA 59 3 290.0 24.0 26.0 29.2 30.4 15.4 NA 60 3 272.0 25.0 27.0 30.6 28.0 15.6 0 61 3 390.0 29.5 31.7 35.0 27.1 15.3 NA 62 4 55.0 13.5 14.7 16.5 41.5 14.1 NA 63 4 60.0 14.3 15.5 17.4 37.8 13.3 1 64 4 90.0 16.3 17.7 19.8 37.4 13.5 1 65 4 120.0 17.5 19.0 21.3 39.4 13.7 1 66 4 150.0 18.4 20.0 22.4 39.7 14.7 NA 67 4 140.0 19.0 20.7 23.2 36.8 14.2 NA 68 4 170.0 19.0 20.7 23.2 40.5 14.7 0 69 4 145.0 19.8 21.5 24.1 40.4 13.1 0 70 4 200.0 21.2 23.0 25.8 40.1 14.2 NA 71 4 273.0 23.0 25.0 28.0 39.6 14.8 0 72 4 300.0 24.0 26.0 29.0 39.2 14.6 0 73 5 6.7 9.3 9.8 10.8 16.1 9.7 1 74 5 7.5 10.0 10.5 11.6 17.0 10.0 0 75 5 7.0 10.1 10.6 11.6 14.9 9.9 1 76 5 9.7 10.4 11.0 12.0 18.3 11.5 0 77 5 9.8 10.7 11.2 12.4 16.8 10.3 1 78 5 8.7 10.8 11.3 12.6 15.7 10.2 1 79 5 10.0 11.3 11.8 13.1 16.9 9.8 1 80 5 9.9 11.3 11.8 13.1 16.9 8.9 0 81 5 9.8 11.4 12.0 13.2 16.7 8.7 0 82 5 12.2 11.5 12.2 13.4 15.6 10.4 0 83 5 13.4 11.7 12.4 13.5 18.0 9.4 0 84 5 12.2 12.1 13.0 13.8 16.5 9.1 0 85 5 19.7 13.2 14.3 15.2 18.9 13.6 0 86 5 19.9 13.8 15.0 16.2 18.1 11.6 0 87 6 200.0 30.0 32.3 34.8 16.0 9.7 NA 88 6 300.0 31.7 34.0 37.8 15.1 11.0 0 89 6 300.0 32.7 35.0 38.8 15.3 11.3 NA 90 6 300.0 34.8 37.3 39.8 15.8 10.1 NA 91 6 430.0 35.5 38.0 40.5 18.0 11.3 NA 92 6 345.0 36.0 38.5 41.0 15.6 9.7 1 93 6 456.0 40.0 42.5 45.5 16.0 9.5 NA 94 6 510.0 40.0 42.5 45.5 15.0 9.8 NA 95 6 540.0 40.1 43.0 45.8 17.0 11.2 NA 96 6 500.0 42.0 45.0 48.0 14.5 10.2 NA 97 6 567.0 43.2 46.0 48.7 16.0 10.0 0 98 6 770.0 44.8 48.0 51.2 15.0 10.5 0 99 6 950.0 48.3 51.7 55.1 16.2 11.2 NA 100 6 1250.0 52.0 56.0 59.7 17.9 11.7 NA 101 6 1600.0 56.0 60.0 64.0 15.0 9.6 NA 102 6 1550.0 56.0 60.0 64.0 15.0 9.6 0 103 6 1650.0 59.0 63.4 68.0 15.9 11.0 0 104 7 5.9 7.5 8.4 8.8 24.0 16.0 NA 105 7 32.0 12.5 13.7 14.7 24.0 13.6 NA 106 7 40.0 13.8 15.0 16.0 23.9 15.2 NA 107 7 51.5 15.0 16.2 17.2 26.7 15.3 NA 108 7 70.0 15.7 17.4 18.5 24.8 15.9 NA 109 7 100.0 16.2 18.0 19.2 27.2 17.3 NA 110 7 78.0 16.8 18.7 19.4 26.8 16.1 NA 111 7 80.0 17.2 19.0 20.2 27.9 15.1 NA 112 7 85.0 17.8 19.6 20.8 24.7 14.6 NA 113 7 85.0 18.2 20.0 21.0 24.2 13.2 NA 114 7 110.0 19.0 21.0 22.5 25.3 15.8 NA 115 7 115.0 19.0 21.0 22.5 26.3 14.7 NA 116 7 125.0 19.0 21.0 22.5 25.3 16.3 1 117 7 130.0 19.3 21.3 22.8 28.0 15.5 0 118 7 120.0 20.0 22.0 23.5 26.0 14.5 0 119 7 120.0 20.0 22.0 23.5 24.0 15.0 NA 120 7 130.0 20.0 22.0 23.5 26.0 15.0 NA 121 7 135.0 20.0 22.0 23.5 25.0 15.0 NA 122 7 110.0 20.0 22.0 23.5 23.5 17.0 0 123 7 130.0 20.5 22.5 24.0 24.4 15.1 0 124 7 150.0 20.5 22.5 24.0 28.3 15.1 0 125 7 145.0 20.7 22.7 24.2 24.6 15.0 NA 126 7 150.0 21.0 23.0 24.5 21.3 14.8 NA 127 7 170.0 21.5 23.5 25.0 25.1 14.9 NA 128 7 225.0 22.0 24.0 25.5 28.6 14.6 NA 129 7 145.0 22.0 24.0 25.5 25.0 15.0 NA 130 7 188.0 22.6 24.6 26.2 25.7 15.9 NA 131 7 180.0 23.0 25.0 26.5 24.3 13.9 0 132 7 197.0 23.5 25.6 27.0 24.3 15.7 NA 133 7 218.0 25.0 26.5 28.0 25.6 14.8 NA 134 7 300.0 25.2 27.3 28.7 29.0 17.9 0 135 7 260.0 25.4 27.5 28.9 24.8 15.0 0 136 7 265.0 25.4 27.5 28.9 24.4 15.0 NA 137 7 250.0 25.4 27.5 28.9 25.2 15.8 0 138 7 250.0 25.9 28.0 29.4 26.6 14.3 NA 139 7 300.0 26.9 28.7 30.1 25.2 15.4 0 140 7 320.0 27.8 30.0 31.6 24.1 15.1 0 141 7 514.0 30.5 32.8 34.0 29.5 17.7 NA 142 7 556.0 32.0 34.5 36.5 28.1 17.5 NA 143 7 840.0 32.5 35.0 37.3 30.8 20.9 0 144 7 685.0 34.0 36.5 39.0 27.9 17.6 0 145 7 700.0 34.0 36.0 38.3 27.7 17.6 0 146 7 700.0 34.5 37.0 39.4 27.5 15.9 0 147 7 690.0 34.6 37.0 39.3 26.9 16.2 0 148 7 900.0 36.5 39.0 41.4 26.9 18.1 0 149 7 650.0 36.5 39.0 41.4 26.9 14.5 NA 150 7 820.0 36.6 39.0 41.3 30.1 17.8 NA 151 7 850.0 36.9 40.0 42.3 28.2 16.8 0 152 7 900.0 37.0 40.0 42.5 27.6 17.0 0 153 7 1015.0 37.0 40.0 42.4 29.2 17.6 0 154 7 820.0 37.1 40.0 42.5 26.2 15.6 0 155 7 1100.0 39.0 42.0 44.6 28.7 15.4 0 156 7 1000.0 39.8 43.0 45.2 26.4 16.1 0 157 7 1100.0 40.1 43.0 45.5 27.5 16.3 0 158 7 1000.0 40.2 43.5 46.0 27.4 17.7 1 159 7 1000.0 41.1 44.0 46.6 26.8 16.3 0