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Sports Medicine Example. Does Sports Med Fellowship have an impact?. Study Design Compare people with fellowship to those without on ABFM exams Choose target content items as DV, other items as covariate. Background. A Word of Warning. ANCOVA Assign to treatment Measured category

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Presentation Transcript

Background

Does Sports Med Fellowship have an impact?

Study Design

Compare people with fellowship to those without on ABFM exams

Choose target content items as DV, other items as covariate.

Background


A word of warning
A Word of Warning

  • ANCOVA

    • Assign to treatment

    • Measured category

  • Covariate can either increase power of test for categorical variable or destroy it


Data collection
Data Collection

  • Family Med exams

    • Item types

      • Judges

      • Item selection

    • Item sums

      • Nmsk

      • FM

  • Fellowship


Distribution of criterion
Distribution of Criterion

Histogram # Boxplot

13.25+** 65 |

. |

.**** 156 |

. |

.********* 400 |

. |

.******************** 941 |

. |

.************************************ 1764 +-----+

. | |

.************************************************ 2334 *-----*

. | + |

7.25+********************************************** 2240 | |

. | |

.******************************* 1494 +-----+

. |

.***************** 786 |

. |

.******* 319 |

. |

.** 84 |

. |

.* 21 |

.

1.25+* 2 0

----+----+----+----+----+----+----+----+----+---

* may represent up to 49 counts

M=7.66, SD=1.83


Distribution of covariate
Distribution of Covariate

Histogram # Boxplot

227.5+* 2 0

.

.* 19 |

.**** 139 |

.************* 441 |

202.5+************************** 909 |

.****************************************** 1461 +-----+

.************************************************ 1669 | |

.************************************************ 1649 *--+--*

.******************************************* 1494 | |

177.5+********************************* 1140 +-----+

.*********************** 778 |

.************* 448 |

.******* 220 |

.**** 126 |

152.5+** 50 0

.* 28 0

.* 16 0

.* 2 0

.* 4 0

127.5+* 1 *

.* 1 *

.* 3 *

.* 4 *

.

102.5+* 2 *

----+----+----+----+----+----+----+----+----+---

* may represent up to 35 counts

M=186.63, SD=12.39


Distribution of categorical variable
Distribution of Categorical Variable

The FREQ Procedure

Cumulative Cumulative

fellow Frequency Percent Frequency Percent

ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ

0 8896 83.88 8896 83.88

1 1710 16.12 10606 100.00


Correlations
Correlations

Pearson Correlation Coefficients, N = 10606

Prob > |r| under H0: Rho=0

nmsk fellow fm

nmsk 1.00000 0.07397 0.30741

<.0001 <.0001

fellow 0.07397 1.00000 0.04147

<.0001 <.0001

fm 0.30741 0.04147 1.00000

<.0001 <.0001


Ancova model 1
ANCOVA Model 1

Dependent Variable: nmsk

Sum of

Source DF Squares Mean Square F Value Pr > F

Model 3 3479.97692 1159.99231 385.81 <.0001

Error 10602 31876.67525 3.00667

Corrected Total 10605 35356.65218

R-Square Coeff Var Root MSE nmsk Mean

0.098425 22.64258 1.733974 7.658024

Standard

Parameter Estimate Error t Value Pr > |t|

Intercept -0.923637117 0.27487627 -3.36 0.0008

fellow 1.325887396 0.72536793 1.83 0.0676

fm 0.045720017 0.00147132 31.07 <.0001

fellow*fm -0.005444525 0.00385886 -1.41 0.1583


Ancova model 2
ANCOVA Model 2

Dependent Variable: nmsk

Sum of

Source DF Squares Mean Square F Value Pr > F

Model 2 3473.99160 1736.99580 577.66 <.0001

Error 10603 31882.66057 3.00695

Corrected Total 10605 35356.65218

R-Square Coeff Var Root MSE nmsk Mean

0.098256 22.64364 1.734055 7.658024

Standard

Parameter Estimate Error t Value Pr > |t|

Intercept -.7760964638 0.25422026 -3.05 0.0023

fellow 0.3044987045 0.04582654 6.64 <.0001

fm 0.0449285119 0.00136023 33.03 <.0001