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    Mathematik in den Life Sciences

    Grundlagen der Modellbildung und Statistik mit einer Einführung in die Statistik-Software R

    Mathematik in den Life Sciences
    Grundlagen der Modellbildung und Statistik mit einer Einführung in die Statistik-Software R

    Autoren:

    Verlag:
    UTB   Weitere Titel dieses Verlages anzeigen

    Erschienen: April 2011
    Seiten: 232
    Sprache: Deutsch
    Preis: 17.90 €
    Illustration: 49 Abbildungen
    Maße: 215x150x18
    Einband: Taschenbuch
    Reihe: Uni-Taschenbücher M
    ISBN: 9783825234935

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    Kursiv gesetzte Seitenzahlen verweisen auf die R-Übungen.
    A
    Abbildung 23
    Ableitung 27
    höhere 29
    Kettenregel 30
    partielle 33
    Produktregel 30
    Quotientenregel 30
    Achsenabschnitt 23
    Alignment 143,216
    Allel 87
    dominant 87,90
    heterozygot 93
    rezessiv 87
    Allometrie 49
    Alternative 121
    Anfangsbedingung 63
    Anfangswertproblem 63, 70
    Approximation lineare 28, 30, 72
    Attribut 173
    length 173
    mode 173
    Ausprägung 37
    Ausreißer 42
    äußeres Produkt 36
    Avogadro-Konstante 18
    B
    Balkendiagramm 39
    Beobachtungseinheit 37
    Bernoulli-Experiment 120
    Bernoulli-Variable 107
    Betrag 160
    biexponentielles Abklingen 201
    Binomialkoeffizient 111
    Binomialtest 134
    Binomialverteilung 111,114-116
    binomialverteilung 204
    Bioconductor 157
    Biostrings 215
    Boxplot 42
    C
    Chi-Quadrat -Anpassungstest 125
    -Test 124,208
    -Verteilung 124
    Clusteranalyse 218
    Clustering 154
    concatenate 173
    Daten einlesen 194
    Dateneditor 178,194
    Datensatz 186
    Dendrogramm 218
    deSolve 157
    Dezimaltrenner 194
    Differenzialgleichung 71
    für exponentielles Wachstum 62
    gekoppelte 99
    logistische 68
    Dimension 19
    diskrete Zeit 55
    dividieren 159
    Dotplot 36,183
    e 15
    e-Funktion 24,61
    Epidemiemodell 103
    Erhaltungsgleichungen 82
    Erwartungswert diskreter Zufallsvariablen 113
    kontinuierlicher Zufallsvariablen 115
    Euler-Verfahren 72
    Eulersche Zahl 15, 60
    Exponentialfunktion 24,61
    Exponentialfunktion, e-Funktion 160
    Exponentialschreibweise 17,159
    Exponentieller Abbau 198
    exponentielles Aussterben 64, 75
    Exponentielles Wachstum 197
    exponentielles Wachstum 56, 62, 68
    Verzeichnisse
    F
    F-Verteilung 139
    Faktor 38
    Fakultät 15,160
    Fehler 1. Art 121
    Fehler 2. Art 122
    Feldtrenner 194
    Fixpunkt 95
    instabil 95
    stabil 95
    Folge 163
    geometrische 23
    Folgen 22
    Funktion 23,166
    G
    Gap Penalty 144
    Genbank 214
    Genotyp 87
    heterozygot 87
    homozygot 87
    Gleichgewicht 71, 77, 84
    beim Räuber-Beute-Modell 101
    im Räuber-Beute Modell 100
    instabil 77, 79,102
    stabil 75, 76, 77, 79, 83,102
    Glockenkurve 32,109
    Grafikexport 196
    Graph einer Funktion 23
    Gütefunktion 122
    H
    Halbwertzeit 65
    Hardy-Weinberg -Annahmen 88
    -Gleichgewicht 90,125
    mit Inzucht 91
    mit Selektion 92
    Hilfe 168
    Histogramm 39,112
    Hypothese 120
    Häufigkeit 38
    relative 38
    I
    Inhalt 173
    Interquartilabstand 41,42
    Inzucht-Parameter 91
    Iterationsvorschrift 93
    K
    kleinste Quadrate Methode 46
    Konfidenzintervall 133,134,210
    Konfidenzniveau 133
    Korrelation 190
    Korrelationskoeffizient 43
    Kosinus 160
    Kovarianz 43
    L
    Lagemaße 41
    lineare Regression siehe Regression, 190, 213
    lineares Wachstum 54
    Logarithmus 49, 56,160
    natürlicher 24
    zur Basis a 25
    logistische Differenzialgleichung 68
    logistisches Wachstum 68
    mit Bejagung 76
    Länge 164
    M
    Massenwirkungsgesetz 82
    Match/Mismatch 144
    Matrix 20,176
    Multiplikation 180
    Spalten 177
    Spaltenzugriff 179
    transponierte 20
    Zeilen 177
    Zeilenzugriff 179
    Matrizenmultiplikation 21,181
    max() 178
    Maximum 30, 33,170,170,175
    Median 41,175
    Merkmal 37
    metrisches 38,39
    nominales 37,38
    Michaelis-Konstante 84
    Michaelis-Menten-Funktion 84
    Michaelis-Menten-Kinetik 83
    Minimum 30, 33,170,170,175
    Mittelwert 41,175
    mode 173
    character 173
    logical 173
    numeric 173
    Modus 174
    Mol 18,81
    Molekulargewicht 19
    Molekularmasse 19
    Münzwurf 107
    N
    Name 173
    Needleman-Wunsch-Algorithmus 148
    nichtlineare Regression siehe Regression Normalapproximation 117
    Normalität 210
    Normalverteilung 32,109,115,204
    Nullisokline 101
    Nullstelle 169
    numerische Lösung einer DGL 70, 72
    O
    Objekt 172,174
    löschen 173
    Oszillationen 81
    P
    p-Wert 121,125,139,207,210
    Phasendiagramm 68, 77, 82
    Phasenraum 100
    Phänotyp 87 7i 159
    plotten 3D 171
    Farbe 168
    Koordinatenachsen 167
    Koordinatenlokalisation 169
    Kurve (n) 167
    Poisson-Approximation 118
    Poisson-Verteilung 107,118,205
    potenzieren 159
    Programm (Skript) ausführen 189
    speichern 189
    Q
    QQ-Plot 209
    quadratische Abweichung 45
    quadratischer Fehler 31
    Quadratwurzel 159
    Quantil 122,133,206
    Quartil 41
    R
    R Commander Ausgabefenster 185
    Grafikexport 196
    lineare Regression 190
    Neustart 186
    QQ-Plot 210
    Skriptfenster 185
    Streudiagramm 188,198
    Test auf Normalität 210
    Wahrscheinlichkeitsverteilungen 204
    Zeilen entfernen 200
    Reaktionskinetik 81, 82, 84
    Regression lineare 46, 53,140,142
    nichtlineare 73,200
    Regressionsgerade 46
    Residuenplot 74
    Richtungsfeld 103,104
    runden 166
    Runs-Test 123
    R Commander 185
    S
    S-I-R-Modell 103
    Schleife 217
    Schätzer erwartungstreu 131
    konsistent 131
    Score 148
    Selbststartmodell 200
    Sequenzvergleich 183
    Shapiro-Wilk-Test 210
    signifikante Stellen 17
    Sinus 160
    Skriptdatei 189
    Smith-Waterman-Algorithmus 153
    Spaltennamen 178,194
    Speichern von Daten 189
    von Programmen 189
    stabiles Gleichgewicht siehe Gleichgewicht, stabil Stabilisierung 75
    Stammfunktion 32,108
    Standardabweichung 41
    Standardisierung 114
    Standardnormalverteilung 115
    stationärer Punkt siehe Gleichgewicht Statistik beschreibend, deskriptiv 37
    Steigung 23
    Verzeichnisse Stichprobe eindimensional 38
    Umfang 38
    zweidimensionale 43
    Streudiagramm 43
    String 183
    Student-Verteilung 135
    Substitutionsmatrix 144,146
    Summe 175
    T
    t-Test 136
    eine Stichprobe 211
    zwei verbundene Stichproben 212
    t-Verteilung 135,139,209
    Tabellenkalkulation 194
    Tangens 160
    Tangente 28
    Tortendiagramm 39
    transponieren einer Matrix 179
    Trägerkapazität 68
    U
    Unabhängigkeit diskreter Zufallsvariablen 109
    kontinuierlicher Zufallsvariablen 112
    paarweise 110
    V
    Varianz 41,175
    diskreter Zufallsvariablen 114
    kontinuierlicher Zufallsvariablen 115
    Vektor 19,174
    Verdopplungszeit 65
    Versuchseinheit 37
    Verteilungsdichte 108
    Verteilungsfunktion 108,116
    Vertrauensintervall siehe Konfidenzintervall Verzögerungszeit 81
    W
    Wachstum exponentielles 56, 62, 68
    lineares 54
    logistisches 68
    mit Bejagung 76
    Wachstumsexponent 64
    Wachstumsrate 57, 58, 62, 64
    Wahrscheinlichkeit 107
    bedingte 110
    Wald-Wolfowitz-Test 123
    which.maxQ 178
    Workspace 172,189
    Wurzel 159
    Z
    Zeilenvektor 19
    Zeitverzögerung 80
    Zentraler Grenzwertsatz 117
    Zufallsvariable 106
    diskret 107
    kontinuierlich 108
    normalverteilt 135
    Zufluss und Abbau 75
    Zuweisung 162