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Cocholostoma septemspirale

SOCR EduMaterials Activity - Sexual Dimorphism in Snails

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Summary

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This activity will recreate part of the design of a classification method for the the Cocholotoma septemspirale snail. By observing multiple traits of the shells, the original researchers were able to decide on a series of dimorphisms (difference in forms) between male and female snails.

This data set is a reduced version of the Sexual Dimorphism in Snails dataset, found here: [insert link to that set]

Goals

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This activity will guide students through the use of a 2 x 3 Two-way ANOVA and post-hoc t-tests.

Data Summary

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  • Number of cases: 112
  • Variables Names:
    • Sex: Sex of the snail; 1 = female, 2 = male
    • Location: Where the snail was found in Switzerland; 1 = Chasseral, 2 = Orvine, 3 = Combes de Nods
    • shell.h Height of the shell, in micrometers
    • shell.w Width of the shell, in micrometers
    • aperture.h Height of the shell aperture (where the snail comes out of), in micrometers
    • aperture.w Height of the shell aperture, in micrometers
    • whorl.w Width of the last whorl (spiral section) on the shell, in micrometers.
    • rib.n Number of ribs on the last whorl on the shell, in micrometers.

The Data

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HomeTeam AwayTeam FTHG FTAG H-A B365H B365D B365A BWH BWD BWA IWH IWD IWA
Arsenal Sunderland 0 0 0 1.4 4.5 8.5 1.35 4.6 9 1.35 4.5 7.3
Fulham Norwich 5 0 5 1.8 3.6 4.5 1.8 3.5 4.4 1.8 3.4 4
Newcastle Tottenham 2 1 1 2.5 3.4 2.75 2.6 3.3 2.75 2.4 3.2 2.7
QPR Swansea 0 5 -5 2 3.4 3.8 2 3.4 3.6 2.1 3.3 3.1
Reading Stoke 1 1 0 2.38 3.25 3.1 2.4 3.2 3.1 2.4 3.2 2.7
WestBrom Liverpool 3 0 3 4.2 3.5 1.91 4.1 3.5 1.85 3.3 3.3 2
WestHam AstonVilla 1 0 1 2.2 3.3 3.4 2.25 3.3 3.3 2.15 3.3 3a
ManCity Southampton 3 2 1 1.17 7 17 1.18 6.25 16 1.17 5.8 13
Wigan Chelsea 0 2 -2 6 3.75 1.62 6 3.9 1.55 5.5 3.9 1.5
Everton ManUnited 1 0 1 4.33 3.6 1.83 4.6 3.5 1.83 3.8 3.4 1.85
Chelsea Reading 4 2 2 1.25 5.5 13 1.25 5.25 12.5 1.25 5 10
AstonVilla Everton 1 3 -2 2.9 3.4 2.4 2.95 3.3 2.45 2.5 3.2 2.6
Chelsea Newcastle 2 0 2 1.5 4.33 6.5 1.5 4.33 6.5 1.53 3.8 5.5
ManUnited Fulham 3 2 1 1.29 5.5 11 1.28 5.25 10 1.25 5 10
Norwich QPR 1 1 0 2.25 3.4 3.2 2.25 3.3 3.1 2.1 3.2 3.2
Southampton Wigan 0 2 -2 2.1 3.4 3.5 2.05 3.4 3.5 2.1 3.2 3.2
Swansea WestHam 3 0 3 2.1 3.3 3.6 2 3.3 3.75 2.1 3.2 3.2
Tottenham WestBrom 1 1 0 1.5 4.33 6.5 1.45 4.2 7 1.45 3.9 6.5
Liverpool ManCity 2 2 0 3.1 3.4 2.3 3 3.5 2.35 2.75 3.2 2.35
Stoke Arsenal 0 0 0 3.5 3.4 2.1 3.7 3.3 2.1 3.2 3.2 2.1
ManCity QPR 3 1 2 1.18 7 15 1.18 6.5 14.5 1.2 5.5 12
Swansea Sunderland 2 2 0 2.2 3.3 3.4 2.2 3.2 3.3 2.2 3.2 3
Tottenham Norwich 1 1 0 1.36 5 8.5 1.36 4.75 8 1.4 4.1 7
WestBrom Everton 2 0 2 3 3.3 2.38 2.9 3.25 2.5 2.6 3.2 2.5
WestHam Fulham 3 0 3 2.5 3.25 2.88 2.55 3.3 2.8 2.4 3.2 2.7
Wigan Stoke 2 2 0 2.25 3.25 3.3 2.2 3.2 3.3 2.3 3.2 2.8
Liverpool Arsenal 0 2 -2 2 3.5 3.75 2.05 3.4 3.75 2.1 3.2 3.2
Newcastle AstonVilla 1 1 0 1.62 3.75 6 1.6 3.9 5.25 1.6 3.6 5
Southampton ManUnited 2 3 -1 6 4.2 1.53 6 4 1.53 5.5 3.9 1.5
Arsenal Southampton 6 1 5 1.36 5 8.5 1.34 4.75 8.75 1.33 4.6 7.8
AstonVilla Swansea 2 0 2 2.38 3.25 3.1 2.3 3.3 3 2.3 3.2 2.8
Fulham WestBrom 3 0 3 2.1 3.4 3.5 1.95 3.4 3.8 1.9 3.3 3.7
ManUnited Wigan 4 0 4 1.25 6 12 1.25 5.5 11.5 1.2 5.5 12
Norwich WestHam 0 0 0 2.38 3.4 3 2.3 3.4 3.1 2.3 3.2 2.8
QPR Chelsea 0 0 0 4.5 3.5 1.83 4.75 3.5 1.75 4.3 3.4 1.75
Stoke ManCity 1 1 0 5 3.6 1.73 5 3.5 1.7 4.4 3.5 1.7
Sunderland Liverpool 1 1 0 3.4 3.3 2.2 3.3 3.3 2.25 3.2 3.2 2.1
Reading Tottenham 1 3 -2 3.75 3.5 2 3.8 3.5 2 3.6 3.3 1.95
Everton Newcastle 2 2 0 1.73 3.6 5 1.75 3.7 4.75 1.85 3.4 3.8
Chelsea Stoke 1 0 1 1.36 4.75 9 1.36 4.5 8.75 1.3 4.8 8.5
Southampton AstonVilla 4 1 3 2.4 3.3 3 2.4 3.25 2.9 2.4 3.2 2.7
Swansea Everton 0 3 -3 3 3.3 2.4 3.1 3.3 2.4 2.6 3.2 2.5
WestBrom Reading 1 0 1 1.73 3.75 4.75 1.75 3.5 4.75 1.7 3.5 4.4
WestHam Sunderland 1 1 0 2.1 3.3 3.6 2.15 3.5 3.5 2.15 3.2 3.1
Wigan Fulham 1 2 -1 2.4 3.3 3 2.3 3.2 3.1 2.4 3.2 2.7
Liverpool ManUnited 1 2 -1 2.7 3.3 2.63 2.75 3.4 2.6 2.65 3.2 2.45
ManCity Arsenal 1 1 0 1.75 3.6 4.75 1.8 3.6 5 1.75 3.4 4.3
Newcastle Norwich 1 0 1 1.8 3.6 4.5 1.78 3.4 4.6 1.65 3.5 4.6
Tottenham QPR 2 1 1 1.44 4.33 7.5 1.45 4 7.75 1.45 3.9 6.5
Arsenal Chelsea 1 2 -1 2.1 3.4 3.5 2.15 3.5 3.5 2.25 3.2 2.9
Everton Southampton 3 1 2 1.4 4.75 8 1.42 4.2 7.75 1.42 4 7
Fulham ManCity 1 2 -1 4.33 3.6 1.83 4.5 3.6 1.85 4 3.4 1.8
ManUnited Tottenham 2 3 -1 1.57 4 6 1.55 3.75 6.25 1.45 3.9 6.5
Norwich Liverpool 2 5 -3 4.75 3.75 1.73 4.75 3.5 1.75 3.8 3.4 1.85
Reading Newcastle 2 2 0 2.88 3.3 2.5 2.95 3.25 2.35 2.8 3.2 2.3
Stoke Swansea 2 0 2 1.91 3.4 4.2 1.85 3.3 4.4 1.9 3.3 3.7
Sunderland Wigan 1 0 1 2 3.4 3.8 1.95 3.4 3.8 1.9 3.3 3.7
AstonVilla WestBrom 1 1 0 2.4 3.3 3 2.4 3.3 3.1 2.6 3.1 2.6
QPR WestHam 1 2 -1 2.05 3.4 3.75 2 3.3 3.75 2.2 3.2 3
Chelsea Norwich 4 1 3 1.22 6.5 12 1.22 5.75 13 1.2 5.7 13
ManCity Sunderland 3 0 3 1.29 5.5 11 1.25 5.25 12.5 1.28 5 10
Swansea Reading 2 2 0 1.91 3.6 4 1.9 3.5 3.9 1.8 3.45 4.25
WestBrom QPR 3 2 1 1.83 3.75 4.2 1.87 3.5 4 1.85 3.4 4.1
WestHam Arsenal 1 3 -2 4 3.6 1.91 3.9 3.7 1.95 4 3.45 1.85
Wigan Everton 2 2 0 4.2 3.4 1.91 3.75 3.3 2 3.5 3.3 2.05
Liverpool Stoke 0 0 0 1.44 4.33 7.5 1.53 4.1 7 1.5 3.9 6.3
Newcastle ManUnited 0 3 -3 4.2 3.75 1.83 3.9 3.5 1.9 3.85 3.4 1.9
Southampton Fulham 2 2 0 2.75 3.3 2.6 2.75 3.3 2.7 2.65 3.3 2.5
Tottenham AstonVilla 2 0 2 1.44 4.33 7.5 1.48 4.33 6 1.43 4.1 7.3
Fulham AstonVilla 1 0 1 1.8 3.6 4.5 1.75 3.6 4.5 1.85 3.45 4
Liverpool Reading 1 0 1 1.33 5 10 1.3 5.25 9 1.35 4.7 7.9
ManUnited Stoke 4 2 2 1.29 5.5 11 1.3 5 9.75 1.28 5.1 10
Norwich Arsenal 1 0 1 6 4.2 1.53 6 4 1.53 5.2 3.8 1.6
Swansea Wigan 2 1 1 2.1 3.4 3.5 2 3.5 3.9 1.9 3.4 3.85
Tottenham Chelsea 2 4 -2 2.5 3.4 2.75 2.6 3.4 2.75 2.6 3.2 2.6
WestBrom ManCity 1 2 -1 5 3.75 1.7 5 3.5 1.7 4.5 3.5 1.75
WestHam Southampton 4 1 3 1.83 3.75 4.2 1.83 3.5 4.2 1.85 3.45 4
QPR Everton 1 1 0 3.25 3.4 2.2 3.3 3.4 2.25 3.6 3.3 2
Sunderland Newcastle 1 1 0 2.5 3.3 2.88 2.5 3.3 2.95 2.4 3.3 2.75
Arsenal QPR 1 0 1 1.36 5 8.5 1.35 4.75 8.25 1.35 4.8 7.6
AstonVilla Norwich 1 1 0 2 3.5 3.75 2 3.5 3.9 1.85 3.45 4
ManCity Swansea 1 0 1 1.22 6 15 1.2 6.25 12.5 1.22 5.5 12
Reading Fulham 3 3 0 2.75 3.4 2.5 2.9 3.3 2.55 2.7 3.2 2.5
Stoke Sunderland 0 0 0 1.95 3.3 4.2 2 3.4 4.1 2.1 3.3 3.3
Wigan WestHam 2 1 1 2.25 3.4 3.2 2.35 3.3 3.2 2.3 3.3 2.9
Chelsea ManUnited 2 3 -1 2.4 3.4 2.9 2.35 3.4 3.1 2.4 3.3 2.75
Everton Liverpool 2 2 0 2.6 3.3 2.75 2.75 3.3 2.65 2.4 3.3 2.75
Newcastle WestBrom 2 1 1 2 3.5 3.75 2 3.5 3.9 1.9 3.4 3.85
Southampton Tottenham 1 2 -1 4.2 3.75 1.83 4.5 3.6 1.85 3.7 3.5 1.9
Fulham Everton 2 2 0 2.75 3.4 2.5 2.65 3.25 2.6 2.5 3.3 2.65
ManUnited Arsenal 2 1 1 1.7 3.8 5 1.7 4 5 1.65 3.6 5.1
Norwich Stoke 1 0 1 2.6 3.3 2.75 2.6 3.3 2.8 2.6 3.2 2.6
Sunderland AstonVilla 0 1 -1 2.1 3.3 3.6 2 3.25 3.8 2 3.3 3.6
Swansea Chelsea 1 1 0 4.5 3.6 1.8 4.5 3.6 1.75 4.2 3.5 1.8
Tottenham Wigan 0 1 -1 1.5 4.33 6.5 1.44 4.33 7 1.4 4.4 7.3
WestHam ManCity 0 0 0 5 3.8 1.7 5 3.8 1.65 4.7 3.6 1.7
Liverpool Newcastle 1 1 0 1.57 4 6 1.6 4 6 1.55 3.9 5.6
QPR Reading 1 1 0 1.8 3.6 4.5 1.85 3.5 4.1 1.95 3.35 3.7
WestBrom Southampton 2 0 2 1.73 3.75 4.75 1.75 3.6 5.25 1.75 3.5 4.5
Arsenal Fulham 3 3 0 1.53 4.2 6 1.57 4.1 6.25 1.5 4 6.1
AstonVilla ManUnited 2 3 -1 7 4.5 1.44 7 4 1.48 6.1 4 1.5
Everton Sunderland 2 1 1 1.44 4.2 8 1.48 3.9 7.25 1.55 3.9 5.6
Reading Norwich 0 0 0 2.25 3.4 3.2 2.25 3.3 3.1 2.1 3.3 3.3
Southampton Swansea 1 1 0 2.38 3.5 2.88 2.4 3.4 2.8 2.4 3.3 2.75
Stoke QPR 1 0 1 1.91 3.4 4.2 1.85 3.4 4.25 1.75 3.5 4.5
Wigan WestBrom 1 2 -1 2.3 3.4 3.1 2.35 3.3 3.2 2.35 3.3 2.85
Chelsea Liverpool 1 1 0 1.95 3.5 4 1.95 3.7 3.9 1.85 3.45 4
ManCity Tottenham 2 1 1 1.57 4 6 1.65 4.2 5.25 1.6 3.7 5.4
Newcastle WestHam 0 1 -1 1.95 3.6 3.8 1.95 3.4 3.8 1.85 3.45 4
Arsenal Tottenham 5 2 3 1.91 3.75 3.8 1.95 3.7 3.9 2 3.3 3.6
Liverpool Wigan 3 0 3 1.44 4.33 7.5 1.44 4.33 7 1.45 4 7
ManCity AstonVilla 5 0 5 1.2 6.5 15 1.22 6.5 10.5 1.2 5.8 13
Newcastle Swansea 1 2 -1 1.91 3.6 4 1.87 3.5 4 1.8 3.5 4.2
Norwich ManUnited 1 0 1 7 4.5 1.44 7 4.5 1.42 7 4 1.45
QPR Southampton 1 3 -2 1.91 3.6 4 1.87 3.5 4 1.9 3.45 3.8
Reading Everton 2 1 1 4.33 3.6 1.83 4.25 3.6 1.8 3.8 3.45 1.9
WestBrom Chelsea 2 1 1 3.75 3.5 2 4.1 3.7 1.91 3.7 3.35 1.95
Fulham Sunderland 1 3 -2 1.67 3.75 5.25 1.75 3.6 5.25 1.75 3.5 4.5
WestHam Stoke 1 1 0 2 3.4 3.8 2 3.5 3.9 1.9 3.45 3.8
AstonVilla Arsenal 0 0 0 4.75 3.75 1.73 5 3.8 1.65 4.7 3.6 1.7
Everton Norwich 1 1 0 1.44 4.33 7.5 1.44 4.2 7.25 1.5 4 6.1
ManUnited QPR 3 1 2 1.17 7.5 15 1.18 6.25 16 1.15 7 15
Stoke Fulham 1 0 1 2.2 3.3 3.4 2.1 3.25 3.5 2.2 3.3 3.1
Sunderland WestBrom 2 4 -2 2.5 3.3 2.88 2.45 3.2 2.85 2.3 3.3 2.9
Wigan Reading 3 2 1 1.83 3.6 4.33 1.8 3.6 4.25 1.85 3.5 3.9
Chelsea ManCity 0 0 0 2.5 3.5 2.7 2.55 3.3 2.65 2.6 3.2 2.6
Southampton Newcastle 2 0 2 2.3 3.5 3 2.25 3.4 3 2.5 3.3 2.65
Swansea Liverpool 0 0 0 3.4 3.5 2.1 3.5 3.4 2.05 3.2 3.3 2.15
Tottenham WestHam 3 1 2 1.67 3.75 5.5 1.57 3.9 5.75 1.65 3.6 5.1
AstonVilla Reading 1 0 1 1.95 3.4 4 1.9 3.4 4 2 3.4 3.5
Sunderland QPR 0 0 0 2.25 3.25 3.3 2.2 3.2 3.3 2 3.3 3.6
Chelsea Fulham 0 0 0 1.44 4.5 7 1.44 4.33 7 1.5 4 6.1
Everton Arsenal 1 1 0 2.5 3.4 2.75 2.45 3.2 2.85 2.4 3.3 2.75
ManUnited WestHam 1 0 1 1.22 6.5 12 1.22 6 12 1.25 5.5 10.3
Southampton Norwich 1 1 0 2 3.4 3.8 2.1 3.3 3.4 2.1 3.3 3.3
Stoke Newcastle 2 1 1 1.91 3.4 4.2 1.85 3.4 4.25 2 3.3 3.6
Swansea WestBrom 3 1 2 2.3 3.4 3.1 2.3 3.3 3 2.4 3.2 2.85
Tottenham Liverpool 2 1 1 2.4 3.4 2.88 2.35 3.3 2.9 2.15 3.3 3.2
Wigan ManCity 0 2 -2 6 4.2 1.53 6 4 1.53 5.4 3.7 1.6
Arsenal Swansea 0 2 -2 1.44 4.5 7 1.45 4.2 7 1.42 4.4 7.2
Fulham Tottenham 0 3 -3 2.88 3.3 2.5 2.9 3.3 2.35 2.75 3.2 2.45
Liverpool Southampton 1 0 1 1.4 4.5 8.5 1.4 4.5 7.5 1.4 4.4 7.3
ManCity Everton 1 1 0 1.5 4 7 1.55 3.7 6.5 1.5 4 6.1
QPR AstonVilla 1 1 0 1.95 3.5 4 1.95 3.4 3.8 2 3.3 3.6
Reading ManUnited 3 4 -1 7.5 4.75 1.4 7.75 4.4 1.4 7.2 3.8 1.4
WestBrom Stoke 0 1 -1 2.1 3.25 3.75 2 3.25 3.8 2.05 3.3 3.5
WestHam Chelsea 3 1 2 4 3.5 1.91 3.8 3.5 1.91 3.7 3.35 1.95
Norwich Sunderland 2 1 1 2.1 3.3 3.6 2.05 3.3 3.6 2.15 3.3 3.2
Newcastle Wigan 3 0 3 2 3.4 3.75 1.95 3.4 3.8 2 3.3 3.6
Arsenal WestBrom 2 0 2 1.5 4.33 6.5 1.48 4.2 6.5 1.5 4 6.1
AstonVilla Stoke 0 0 0 2.4 3.2 3.1 2.4 3.1 3 2.4 3.3 2.75
Southampton Reading 1 0 1 1.91 3.6 4 1.9 3.4 4 1.95 3.35 3.7
Sunderland Chelsea 1 3 -2 4.75 3.5 1.8 4.75 3.7 1.7 4.2 3.5 1.8
Swansea Norwich 3 4 -1 1.8 3.6 4.5 1.78 3.5 4.5 1.85 3.45 4
Wigan QPR 2 2 0 2.3 3.4 3.1 2.35 3.3 2.9 2.2 3.3 3.1
Everton Tottenham 2 1 1 2 3.5 3.75 2 3.3 3.75 2.1 3.3 3.3
ManCity ManUnited 2 3 -1 2.2 3.5 3.2 2.15 3.3 3.3 2.3 3.3 2.9
WestHam Liverpool 2 3 -1 3 3.3 2.38 2.9 3.25 2.4 2.75 3.3 2.4
Fulham Newcastle 2 1 1 1.91 3.6 4 1.85 3.4 4.25 1.9 3.45 3.8
Sunderland Reading 3 0 3 2 3.5 3.75 1.95 3.4 3.8 1.95 3.4 3.6
Liverpool AstonVilla 1 3 -2 1.36 4.75 9 1.35 4.5 9.25 1.4 4.4 7.3
ManUnited Sunderland 3 1 2 1.2 6.5 15 1.18 6.75 13.5 1.18 6.5 14
Newcastle ManCity 1 3 -2 5.5 3.75 1.67 5 3.9 1.62 5.1 3.6 1.65
Norwich Wigan 2 1 1 2.2 3.4 3.25 2.1 3.3 3.4 2.05 3.3 3.5
QPR Fulham 2 1 1 2.4 3.4 2.88 2.4 3.4 2.8 2.5 3.3 2.65
Stoke Everton 1 1 0 3.1 3.2 2.4 3 3.2 2.35 2.75 3.3 2.4
Tottenham Swansea 1 0 1 1.62 4 5.5 1.62 3.9 5 1.6 3.7 5.4
WestBrom WestHam 0 0 0 2 3.5 3.75 1.9 3.4 4 2 3.3 3.6
Reading Arsenal 2 5 -3 5.5 4 1.62 5.25 3.9 1.6 5.1 3.6 1.65
Liverpool Fulham 4 0 4 1.53 4 6.5 1.57 3.7 6.25 1.57 3.75 5.6
ManCity Reading 1 0 1 1.14 8 19 1.15 8 14 1.12 8 16
Newcastle QPR 1 0 1 2.1 3.4 3.5 2.05 3.3 3.6 1.95 3.35 3.7
Southampton Sunderland 0 1 -1 2 3.5 3.75 1.95 3.4 3.9 2 3.3 3.6
Tottenham Stoke 0 0 0 1.62 3.75 6 1.57 3.75 6.25 1.67 3.55 5
WestBrom Norwich 2 1 1 1.91 3.6 4 1.95 3.5 3.8 2.05 3.3 3.5
WestHam Everton 1 2 -1 2.88 3.25 2.5 2.85 3.2 2.5 2.75 3.3 2.4
Wigan Arsenal 0 1 -1 4.75 3.75 1.73 4.5 3.9 1.7 4.7 3.6 1.7
Chelsea AstonVilla 8 0 8 1.33 5.5 8.5 1.34 5 8.25 1.33 4.8 8.3
Swansea ManUnited 1 1 0 5 4 1.67 5 4 1.62 5.4 3.7 1.6
AstonVilla Tottenham 0 4 -4 3.75 3.5 2 3.75 3.5 1.95 3.3 3.3 2.1
Everton Wigan 2 1 1 1.44 4.5 7 1.48 4.1 7 1.47 4 6.6
Fulham Southampton 1 1 0 1.85 3.6 4.2 1.83 3.75 4 1.85 3.45 4
ManUnited Newcastle 4 3 1 1.22 6.5 13 1.22 6.5 11 1.25 5.6 10
Norwich Chelsea 0 1 -1 6 3.75 1.62 5.5 4 1.57 5.4 3.7 1.6
QPR WestBrom 1 2 -1 2.2 3.4 3.25 2.25 3.3 3.1 2.3 3.3 2.9
Reading Swansea 0 0 0 2.9 3.4 2.38 2.9 3.4 2.35 2.75 3.3 2.4
Stoke Liverpool 3 1 2 3.4 3.2 2.25 3.1 3.2 2.3 2.75 3.3 2.4
Sunderland ManCity 1 0 1 6.5 4 1.53 6.5 4.1 1.5 5.6 3.9 1.55
Arsenal Newcastle 7 3 4 1.44 4.5 7 1.45 4.5 6.5 1.5 4 6.1
AstonVilla Wigan 0 3 -3 2.4 3.25 3 2.35 3.2 3.1 2.2 3.2 3.2
Fulham Swansea 1 2 -1 2.1 3.4 3.5 2.05 3.5 3.4 2.2 3.3 3.1
ManUnited WestBrom 2 0 2 1.3 5.5 10 1.3 5.25 9.25 1.27 5.2 10
Norwich ManCity 3 4 -1 6 4 1.57 6.25 3.75 1.57 5.4 3.7 1.6
Reading WestHam 1 0 1 2.88 3.25 2.5 2.8 3.25 2.5 2.6 3.2 2.6
Stoke Southampton 3 3 0 1.8 3.5 4.75 1.75 3.4 5 1.8 3.5 4.2
Sunderland Tottenham 1 2 -1 3.5 3.4 2.1 3.5 3.4 2.05 3.3 3.3 2.1
Everton Chelsea 1 2 -1 2.88 3.3 2.5 2.9 3.2 2.45 2.65 3.3 2.5
QPR Liverpool 0 3 -3 4 3.5 1.91 4 3.6 1.87 3.8 3.45 1.9
ManCity Stoke 3 0 3 1.29 5.5 11 1.28 5 12 1.27 5.2 10
Southampton Arsenal 1 1 0 5 3.75 1.7 5 3.9 1.65 4.7 3.6 1.7
Swansea AstonVilla 2 2 0 1.57 4 6 1.57 4 5.5 1.6 3.7 5.4
Tottenham Reading 3 1 2 1.33 5 10 1.34 4.75 9.25 1.35 4.8 7.6
WestBrom Fulham 1 2 -1 2 3.5 3.75 1.95 3.4 3.9 2 3.3 3.6
WestHam Norwich 2 1 1 2.1 3.4 3.5 2.05 3.3 3.6 2.2 3.3 3.1
Wigan ManUnited 0 4 -4 6 4.2 1.53 6.25 4.2 1.5 6.1 4 1.5
Chelsea QPR 0 1 -1 1.2 6.5 15 1.2 6.25 14 1.22 5.5 12
Liverpool Sunderland 3 0 3 1.4 4.5 8.5 1.4 4.33 8.25 1.45 4 7
Newcastle Everton 1 2 -1 3 3.4 2.38 2.95 3.25 2.4 2.75 3.3 2.4
AstonVilla Southampton 0 1 -1 2.55 3.5 2.9 2.45 3.25 2.85 2.3 3.3 2.9
Everton Swansea 0 0 0 1.57 4.2 6.5 1.53 4.1 6 1.6 3.7 5.4
Fulham Wigan 1 1 0 2.05 3.5 4 1.91 3.4 4 1.9 3.45 3.8
Norwich Newcastle 0 0 0 2.2 3.6 3.4 2.15 3.4 3.25 2.1 3.3 3.3
QPR Tottenham 0 0 0 4.5 3.8 1.85 4.2 3.7 1.8 3.8 3.45 1.9
Reading WestBrom 3 2 1 3 3.4 2.5 2.9 3.2 2.45 2.6 3.2 2.6
Stoke Chelsea 0 4 -4 4.33 3.5 1.95 4 3.4 1.91 3.8 3.45 1.9
Sunderland WestHam 3 0 3 2.38 3.3 3.3 2.3 3.2 3.1 2.2 3.3 3.1
Arsenal ManCity 0 2 -2 2.63 3.5 2.8 2.55 3.4 2.65 2.65 3.3 2.5
ManUnited Liverpool 2 1 1 1.91 3.8 4.2 1.8 3.8 4.1 1.75 3.6 4.3
Chelsea Southampton 2 2 0 1.25 6.5 15 1.23 6.25 11 1.25 5.5 10.3
Liverpool Norwich 5 0 5 1.33 5.5 10.5 1.3 5.25 9.75 1.33 4.8 8.3
ManCity Fulham 2 0 2 1.25 6.5 14 1.23 6 11.5 1.22 5.5 12
Newcastle Reading 1 2 -1 1.75 4 5 1.72 3.75 4.6 1.8 3.5 4.2
Swansea Stoke 3 1 2 2.2 3.4 3.6 2.1 3.4 3.4 2 3.3 3.6
WestBrom AstonVilla 2 2 0 1.75 4 5 1.72 3.8 4.5 1.8 3.5 4.2
WestHam QPR 1 1 0 2.1 3.5 3.75 2 3.5 3.6 2 3.3 3.6
Wigan Sunderland 2 3 -1 2.15 3.4 3.8 2.1 3.25 3.6 2.15 3.3 3.2
Chelsea Arsenal 2 1 1 1.91 3.6 4 1.91 3.4 4 1.9 3.45 3.8
Tottenham ManUnited 1 1 0 2.9 3.6 2.5 2.85 3.6 2.3 2.9 3.3 2.3
Southampton Everton 0 0 0 3.6 3.5 2.05 3.9 3.5 1.91 3.6 3.3 2
Arsenal WestHam 5 1 4 1.44 4.75 8 1.44 4.1 7.75 1.4 4.4 7.3
AstonVilla Newcastle 1 2 -1 2.9 3.4 2.6 2.85 3.2 2.5 2.4 3.3 2.75
QPR ManCity 0 0 0 7.5 4.5 1.5 7 4.4 1.44 5.6 3.9 1.55
Stoke Wigan 2 2 0 2.2 3.3 3.75 2.05 3.3 3.6 2 3.3 3.6
Sunderland Swansea 0 0 0 2.5 3.4 3 2.55 3.25 2.75 2.2 3.3 3.1
Arsenal Liverpool 2 2 0 2.4 3.5 3.1 2.4 3.2 3 2.2 3.3 3.1
Everton WestBrom 2 1 1 1.6 4.1 6.5 1.53 4.1 6 1.6 3.7 5.4
Fulham WestHam 3 1 2 2.2 3.5 3.5 2.15 3.4 3.3 2 3.3 3.6
ManUnited Southampton 2 1 1 1.25 6.5 14 1.2 7 11.5 1.15 7 15
Norwich Tottenham 1 1 0 4.75 3.75 1.83 4.6 3.6 1.75 4 3.45 1.85
Reading Chelsea 2 2 0 7.5 4.5 1.5 7.25 4.2 1.45 6.1 4 1.5
Arsenal Stoke 1 0 1 1.44 4.5 9 1.42 4.2 8.25 1.45 4 7
Everton AstonVilla 3 3 0 1.4 5 9 1.35 4.6 9.25 1.42 4.4 7.2
Fulham ManUnited 0 1 -1 5.5 4.2 1.65 5.5 4.1 1.57 5.6 3.75 1.57
Newcastle Chelsea 3 2 1 4 3.6 2 3.75 3.7 1.9 4 3.45 1.85
QPR Norwich 0 0 0 1.95 3.6 4.33 1.91 3.6 3.8 1.95 3.35 3.7
Reading Sunderland 2 1 1 2.5 3.4 3 2.4 3.25 2.95 2.3 3.3 2.9
WestHam Swansea 1 0 1 2.4 3.4 3.2 2.4 3.2 3 2.3 3.1 3.1
Wigan Southampton 2 2 0 2.2 3.5 3.5 2.15 3.4 3.3 2 3.3 3.6
ManCity Liverpool 2 2 0 1.83 3.9 4.5 1.85 3.8 3.8 1.8 3.5 4.2
WestBrom Tottenham 0 1 -1 3.6 3.4 2.2 3.5 3.3 2.1 3.6 3.3 2
Chelsea Wigan 4 1 3 1.36 5.5 9.5 1.34 5 8.5 1.3 5 9
Norwich Fulham 0 0 0 2.3 3.4 3.4 2.3 3.25 3.1 2.3 3.3 2.9
Southampton ManCity 3 1 2 5.75 4 1.67 5.5 4 1.57 5.6 3.9 1.55
Stoke Reading 2 1 1 1.91 3.5 4.6 1.83 3.4 4.4 1.9 3.45 3.8
Sunderland Arsenal 0 1 -1 4.5 3.6 1.91 4 3.6 1.85 4.2 3.5 1.8
Swansea QPR 4 1 3 1.83 3.75 4.75 1.83 3.4 4.4 1.8 3.5 4.2
Tottenham Newcastle 2 1 1 1.67 4 5.75 1.65 3.8 5 1.7 3.6 4.7
AstonVilla WestHam 2 1 1 2.63 3.4 2.88 2.55 3.25 2.75 2.45 3.3 2.7
ManUnited Everton 2 0 2 1.75 3.9 5 1.7 3.8 4.75 1.65 3.6 5.1
Liverpool WestBrom 0 2 -2 1.4 5 9 1.34 5 8.5 1.37 4.6 7.5
Liverpool Swansea 5 0 5 1.57 4.4 6 1.57 4.1 5.5 1.55 3.9 5.6
Arsenal AstonVilla 2 1 1 1.33 5.5 11 1.3 5.25 9.25 1.35 4.8 7.6
Fulham Stoke 1 0 1 2.2 3.3 3.75 2.05 3.3 3.6 2.05 3.3 3.5
Norwich Everton 2 1 1 3.8 3.5 2.1 3.6 3.3 2.05 3.6 3.3 2
QPR ManUnited 0 2 -2 7 4.33 1.53 6.5 3.9 1.53 7 4 1.45
Reading Wigan 0 3 -3 2.63 3.4 2.88 2.55 3.2 2.8 2.2 3.3 3.1
WestBrom Sunderland 2 1 1 2.05 3.5 4 1.95 3.3 4 2 3.3 3.6
ManCity Chelsea 2 0 2 1.95 3.6 4.33 1.91 3.5 3.9 1.95 3.35 3.7
Newcastle Southampton 4 2 2 2.2 3.5 3.2 2 3.5 3.6 2 3.3 3.6
WestHam Tottenham 2 3 -1 3.6 3.5 2.15 3.4 3.25 2.15 3.3 3.3 2.1
Chelsea WestBrom 1 0 1 1.4 5 9 1.4 4.33 8.25 1.37 4.6 7.5
Everton Reading 3 1 2 1.38 5 10 1.36 5 7.75 1.42 4.4 7.2
ManUnited Norwich 4 0 4 1.33 5.5 11 1.3 5.25 9.25 1.3 5 9
Southampton QPR 1 2 -1 1.85 3.8 4.5 1.8 3.5 4.5 1.9 3.45 3.8
Stoke WestHam 0 1 -1 2.15 3.25 4 2.05 3.3 3.6 2 3.3 3.6
Sunderland Fulham 2 2 0 2.4 3.3 3.3 2.35 3.2 3.1 2.2 3.2 3.2
Swansea Newcastle 1 0 1 2.1 3.6 3.75 2 3.5 3.6 2.1 3.3 3.3
Wigan Liverpool 0 4 -4 4.5 3.75 1.85 4.2 3.8 1.78 4.2 3.5 1.8
Tottenham Arsenal 2 1 1 2.3 3.6 3.25 2.3 3.4 3 2.3 3.3 2.9
AstonVilla ManCity 0 1 -1 7.5 4.5 1.44 7.5 4.25 1.44 5.6 3.9 1.55
Norwich Southampton 0 0 0 2.5 3.4 3 2.4 3.2 3 2.2 3.3 3.1
QPR Sunderland 3 1 2 2.25 3.4 3.5 2.25 3.25 3.2 2.25 3.3 3
Reading AstonVilla 1 2 -1 2.45 3.4 3.1 2.35 3.25 3 2.2 3.3 3.1
WestBrom Swansea 2 1 1 2.45 3.3 3.2 2.35 3.2 3.1 2.2 3.3 3.1
Liverpool Tottenham 3 2 1 1.95 3.8 4 1.85 3.8 3.8 2 3.3 3.6
Newcastle Stoke 2 1 1 1.83 3.7 4.8 1.8 3.4 4.6 1.9 3.45 3.8
AstonVilla QPR 3 2 1 2.3 3.4 3.4 2.1 3.4 3.4 2.1 3.3 3.3
Everton ManCity 2 0 2 3.9 3.6 2.05 3.8 3.3 2 3.3 3.3 2.1
ManUnited Reading 1 0 1 1.17 9 19 1.15 8 14 1.15 7 15
Southampton Liverpool 3 1 2 4.2 3.8 1.91 4.1 3.5 1.87 4.5 3.5 1.75
Stoke WestBrom 0 0 0 2.5 3.3 3.1 2.45 3.1 3 2.3 3.3 2.9
Swansea Arsenal 0 2 -2 3.4 3.5 2.25 3.4 3.2 2.2 3.3 3.3 2.1
Chelsea WestHam 2 0 2 1.4 5 9 1.34 5 8.25 1.35 4.8 7.6
Sunderland Norwich 1 1 0 2.05 3.5 4 2 3.5 3.6 2 3.3 3.6
Tottenham Fulham 0 1 -1 1.5 4.5 7.5 1.48 4.25 6.5 1.55 3.9 5.6
Wigan Newcastle 2 1 1 2.3 3.4 3.4 2.25 3.25 3.2 2.1 3.3 3.3
Arsenal Reading 4 1 3 1.25 6.5 15 1.22 6.5 11 1.25 5.5 10.3
Everton Stoke 1 0 1 1.57 3.9 7.5 1.5 4.1 6.5 1.5 4 6.1
ManCity Newcastle 4 0 4 1.33 5.5 11 1.26 5.5 11 1.3 5 9
Southampton Chelsea 2 1 1 3.5 3.5 2.2 3.4 3.5 2.05 3.6 3.3 2
Sunderland ManUnited 0 1 -1 6 4 1.65 5.5 3.8 1.62 5.1 3.6 1.65
Swansea Tottenham 1 2 -1 3.4 3.4 2.3 3.2 3.25 2.25 3.1 3.3 2.2
WestHam WestBrom 3 1 2 2.3 3.4 3.4 2.3 3.2 3.1 2.2 3.2 3.2
Wigan Norwich 1 0 1 1.95 3.6 4.33 1.87 3.5 4.1 1.95 3.35 3.7
AstonVilla Liverpool 1 2 -1 5 4 1.75 4.75 3.8 1.7 4.2 3.5 1.8
Fulham QPR 3 2 1 2 3.6 4 1.91 3.4 4 1.85 3.45 4
Norwich Swansea 2 2 0 2.63 3.3 2.9 2.6 3.1 2.8 2.3 3.3 2.9
Reading Southampton 0 2 -2 3.3 3.6 2.25 3.3 3.4 2.15 3.1 3.3 2.2
Stoke AstonVilla 1 3 -2 2.1 3.4 4 2.05 3.2 3.8 2 3.3 3.6
WestBrom Arsenal 1 2 -1 4.1 3.7 1.95 4.1 3.5 1.87 3.8 3.45 1.9
Chelsea Sunderland 2 1 1 1.36 5 11 1.3 5 10.5 1.33 4.8 8.3
Liverpool WestHam 0 0 0 1.36 5.5 9 1.35 5 8 1.35 4.8 7.6
Newcastle Fulham 1 0 1 2.1 3.5 3.8 2 3.25 3.9 1.95 3.4 3.6
QPR Wigan 1 1 0 2.38 3.4 3.25 2.3 3.25 3.1 2.4 3.3 2.75
Tottenham Everton 2 2 0 2.2 3.4 3.6 2.25 3.25 3.2 2.1 3.3 3.3
ManUnited ManCity 1 2 -1 2.3 3.5 3.3 2.2 3.4 3.2 2 3.3 3.6
Arsenal Norwich 3 1 2 1.25 6.5 14 1.23 6 11.5 1.25 5.5 10.3
AstonVilla Fulham 1 1 0 2.3 3.3 3.5 2.25 3.2 3.25 2.2 3.3 3.1
Everton QPR 2 0 2 1.44 4.75 8 1.4 4.6 7.5 1.42 4.5 6.7
Reading Liverpool 0 0 0 8 4.75 1.45 7.25 4.33 1.44 6.1 4 1.5
Southampton WestHam 1 1 0 1.91 3.75 4.2 1.8 3.7 4.2 1.85 3.5 3.9
Newcastle Sunderland 0 3 -3 1.95 3.5 4.5 1.91 3.25 4.25 1.9 3.45 3.8
Stoke ManUnited 0 2 -2 7 3.9 1.6 6.5 3.75 1.55 5.1 3.6 1.65
Arsenal Everton 0 0 0 1.75 3.9 5 1.7 3.8 4.75 1.8 3.5 4.2
Fulham Chelsea 0 3 -3 4.75 3.8 1.8 4.5 3.8 1.72 3.8 3.45 1.9
ManCity Wigan 1 0 1 1.25 6.5 14 1.23 6 11.5 1.27 5.5 9
WestHam ManUnited 2 2 0 5.5 3.9 1.7 5 3.75 1.67 5.1 3.6 1.65
Fulham Arsenal 0 1 -1 5 4 1.75 4.75 3.8 1.7 4.2 3.5 1.8
Norwich Reading 2 1 1 1.75 3.8 5.25 1.67 3.7 5 1.7 3.8 4.4
QPR Stoke 0 2 -2 2.25 3.4 3.5 2.1 3.4 3.4 2.2 3.3 3.1
Sunderland Everton 1 0 1 3.4 3.4 2.3 3.4 3.3 2.15 3 3.3 2.25
Swansea Southampton 0 0 0 2.38 3.5 3.1 2.25 3.3 3.1 2.3 3.1 3.1
WestBrom Newcastle 1 1 0 2.25 3.5 3.4 2.25 3.2 3.25 2.25 3.3 3
WestHam Wigan 2 0 2 2.3 3.5 3.3 2.3 3.25 3.1 2.2 3.2 3.2
Liverpool Chelsea 2 2 0 2.15 3.6 3.6 2.05 3.5 3.4 2.2 3.3 3.1
Tottenham ManCity 3 1 2 3.25 3.6 2.3 3.2 3.25 2.25 2.9 3.3 2.3
ManUnited AstonVilla 3 0 3 1.25 6.75 13 1.22 6.75 10.5 1.25 5.5 10.3
Everton Fulham 1 0 1 1.5 4.5 7.5 1.45 4.1 7.5 1.55 3.9 5.6
ManCity WestHam 2 1 1 1.29 6 12 1.25 5.5 12 1.27 5.2 10
Newcastle Liverpool 0 6 -6 2.88 3.6 2.5 2.95 3.25 2.4 2.75 3.3 2.4
Southampton WestBrom 0 3 -3 1.85 3.75 4.6 1.85 3.6 4.1 1.9 3.45 3.8
Stoke Norwich 1 0 1 2.25 3.3 3.6 2.15 3.2 3.5 2 3.2 3.7
Wigan Tottenham 2 2 0 3.8 3.6 2.05 3.8 3.5 1.95 3.8 3.45 1.9
Arsenal ManUnited 1 1 0 2.25 3.6 3.3 2.1 3.5 3.3 2 3.4 3.5
Chelsea Swansea 2 0 2 1.36 5.5 9 1.3 5.25 9.5 1.25 5.5 10.3
Reading QPR 0 0 0 2.55 3.5 2.88 2.5 3.4 2.7 2.5 3.3 2.65
AstonVilla Sunderland 6 1 5 2.3 3.4 3.4 2.2 3.25 3.3 2 3.2 3.7
Fulham Reading 2 4 -2 1.73 3.9 5.25 1.67 3.6 5.25 1.65 3.7 4.9
Norwich AstonVilla 1 2 -1 2.55 3.3 3 2.45 3.2 2.9 2.3 3.3 2.9
QPR Arsenal 0 1 -1 8 4.75 1.44 7.5 4.6 1.4 7.1 5 1.35
Swansea ManCity 0 0 0 5.25 3.8 1.75 4.75 3.75 1.7 4.5 3.7 1.7
Tottenham Southampton 1 0 1 1.44 4.75 8 1.45 4.5 6.5 1.4 4.6 6.8
WestBrom Wigan 2 3 -1 2.45 3.5 3 2.35 3.25 3 2.3 3.3 2.9
WestHam Newcastle 0 0 0 2.38 3.4 3.25 2.35 3.2 3.1 2.3 3.3 2.9
Liverpool Everton 0 0 0 1.95 3.6 4.2 1.95 3.4 3.9 2 3.3 3.6
ManUnited Chelsea 0 1 -1 2.2 3.5 3.5 2.15 3.5 3.2 2.1 3.3 3.3
Sunderland Stoke 1 1 0 2.1 3.3 4 2.05 3.2 3.8 1.85 3.45 4
ManCity WestBrom 1 0 1 1.4 5 9 1.34 5 8 1.35 4.8 7.6
Wigan Swansea 2 3 -1 1.83 3.75 4.75 1.72 3.6 4.75 1.8 3.5 4.2
Chelsea Tottenham 2 2 0 1.95 3.75 4 1.87 3.6 3.9 1.8 3.5 4.2
AstonVilla Chelsea 1 2 -1 4.5 3.8 1.85 4.33 3.75 1.75 4.3 3.8 1.7
Everton WestHam 2 0 2 1.5 4.5 7.5 1.45 4.25 6.75 1.45 4 7
Fulham Liverpool 1 3 -2 3.9 3.6 2.05 3.7 3.5 1.95 3.2 3.3 2.15
ManUnited Swansea 2 1 1 1.3 5.75 12 1.25 5.75 10.5 1.27 5.2 10
Norwich WestBrom 4 0 4 2.2 3.4 3.6 2.1 3.3 3.4 1.9 3.5 3.7
QPR Newcastle 1 2 -1 3.4 3.4 2.3 3.1 3.4 2.2 3.3 3.3 2.1
Stoke Tottenham 1 2 -1 4.5 3.6 1.91 4.5 3.5 1.78 4 3.45 1.85
Sunderland Southampton 1 1 0 2.8 3.2 2.8 2.65 3 2.75 2.5 3 2.8
Arsenal Wigan 4 1 3 1.4 5.5 8 1.33 5.25 7.75 1.35 5 7.1
Reading ManCity 0 2 -2 6 4.33 1.6 5.75 4.1 1.53 5.3 3.9 1.57
Chelsea Everton 2 1 1 1.7 4 5.5 1.65 3.75 5 1.5 4 6.1
Liverpool QPR 1 0 1 1.25 7 12 1.2 6.5 12 1.22 5.5 12
ManCity Norwich 2 3 -1 1.33 5.5 11 1.25 5.5 11 1.3 5 9
Newcastle Arsenal 0 1 -1 6 4.6 1.55 6 4.33 1.48 6.5 4.2 1.45
Southampton Stoke 1 1 0 1.75 3.8 5.25 1.75 3.5 4.75 1.8 3.4 4.3
Swansea Fulham 0 3 -3 1.8 3.8 4.75 1.72 3.75 4.5 1.8 3.5 4.2
Tottenham Sunderland 1 0 1 1.29 6 12 1.22 6 12 1.27 5.2 10
WestBrom ManUnited 5 5 0 4.5 3.9 1.83 4.5 3.6 1.75 4.2 3.5 1.8
WestHam Reading 4 2 2 1.67 4 5.75 1.6 3.8 5.5 1.7 3.6 4.7
Wigan AstonVilla 2 2 0 2.15 3.6 3.6 2 3.5 3.5 2.1 3.3 3.3

Data Analysis

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Begin by selecting "sex" and "locality" as the independent variables. Next, select one of the four shell five shell measures as your dependent variable. We will use "ribs" in the following example, but it is recommended that you use another in its place to explore these measures.

Begin by using the Two-Way Anova. Copy and paste data from this page into the cells provided by the applet. Use the ctrl + c command and the "paste" button in the applet to paste the sex, locality, and ribs. [Insert SnailPagePic1]

Click on the mapping tab and select the independent and dependent variables. Turn interaction on, and press the calculate button. This should bring up the results page. [Image of the results].

Note that because this is a 2 x 3 ANOVA, the significance of the main effect for sex is the significance value for the difference between ale and female.

However, for the main effect of locality, you will need to conduct a t-test for each of the three pairs. You can do this in a similar manner to the two-way ANOVA.


Reference

[edit]

Reichenbach F, Baur H, Neubert E (2012) Sexual dimorphism in shells of Cochlostoma septemspirale (Caenogastropoda, Cyclophoroidea, Diplommatinidae, Cochlostomatinae). ZooKeys 208: 1-16. doi:10.3897/zookeys.208.2869

Baur H, Reichenbach F, Neubert E (2012) Data from: Sexual dimorphism in shells of Cochlostoma septemspirale (Caenogastropoda, Cyclophoroidea, Diplommatinidae, Cochlostomatinae). Dryad Digital Repository. doi:10.5061/dryad.ns7v7