# BMI/STAT 727: Theory and Methods of Longitudinal Data Analysis | UW–Madison

[View on UW Courses](https://uwcourses.com/courses/BMI_STAT_727)

## Dataset

### revision

e243353dcb7d79b7247ced91d69443ef4c2a6349

### repository

twangodev/uwcourses

### schema version

6

### importer version

7

### projection id

94468b7d4154126ca413937bb4738a6d21e0c2277f6fa397a6078ad80a32384f

### observed at

2026-09-07T15:55:43.033547+00:00

### built at

2026-09-10T23:19:01.870283+00:00

### courses

8951

### current instructors

5754

### limited

false

### terms

* 1272
* 1264
* 1262
* 1254
* 1252
* 1244
* 1242
* 1234
* 1232
* 1224
* 1222
* 1212
* 1204
* 1202
* 1194
* 1192
* 1184
* 1182
* 1174
* 1172
* 1164
* 1162
* 1154
* 1152
* 1144
* 1142
* 1134
* 1132
* 1124
* 1122
* 1114
* 1112
* 1104
* 1102
* 1094
* 1092
* 1084
* 1082
* 1074
* 1072

### term

1272

### departments

| subject   | count |
| --------- | ----- |
| AAE       | 90    |
| ABT       | 20    |
| ACCTIS    | 36    |
| ACTSCI    | 14    |
| AFAERO    | 10    |
| AFRICAN   | 87    |
| AFROAMER  | 71    |
| AGROECOL  | 21    |
| AMERIND   | 53    |
| ANAT\&PHY | 7     |
| ANATOMY   | 2     |
| ANESTHES  | 8     |
| ANSCI     | 57    |
| ANTHRO    | 95    |
| ART       | 125   |
| ARTED     | 10    |
| ARTHIST   | 121   |
| ASIALANG  | 129   |
| ASIAN     | 109   |
| ASIANAM   | 28    |
| ASTRON    | 38    |
| ATMOCN    | 69    |
| BIOCHEM   | 51    |
| BIOCORE   | 10    |
| BIOLOGY   | 14    |
| BIOMDSCI  | 18    |
| BME       | 66    |
| BMI       | 41    |
| BMOLCHEM  | 10    |
| BOTANY    | 69    |
| BSE       | 44    |
| C\&ESOC   | 73    |
| CBE       | 48    |
| CHEM      | 101   |
| CHICLA    | 52    |
| CIVENGR   | 133   |
| CLASSICS  | 47    |
| CNP       | 10    |
| CNSRSCI   | 50    |
| COMARTS   | 137   |
| COMPBIO   | 15    |
| COMPLIT   | 11    |
| COMPSCI   | 138   |
| COUNPSY   | 78    |
| CRB       | 19    |
| CS\&D     | 71    |
| CSCS      | 40    |
| CURRIC    | 193   |
| DANCE     | 93    |
| DERM      | 8     |
| DS        | 88    |
| DYSCI     | 35    |
| ECE       | 155   |
| ECON      | 145   |
| EDPOL     | 114   |
| EDPSYCH   | 97    |
| ELPA      | 70    |
| EMA       | 53    |
| EMERMED   | 17    |
| ENGL      | 206   |
| ENTOM     | 40    |
| ENVIRST   | 148   |
| EP        | 15    |
| EPD       | 67    |
| ESL       | 16    |
| F\&WECOL  | 60    |
| FAMMED    | 22    |
| FINANCE   | 50    |
| FOLKLORE  | 40    |
| FOODSCI   | 43    |
| FRENCH    | 63    |
| GEN\&WS   | 145   |
| GENBUS    | 72    |
| GENECSLR  | 17    |
| GENETICS  | 60    |
| GEOG      | 113   |
| GEOSCI    | 83    |
| GERMAN    | 82    |
| GLE       | 48    |
| GNS       | 38    |
| GREEK     | 27    |
| HDFS      | 41    |
| HEBR-BIB  | 13    |
| HEBR-MOD  | 10    |
| HISTORY   | 233   |
| HISTSCI   | 56    |
| HONCOL    | 13    |
| ILS       | 43    |
| INFOSYS   | 9     |
| INTEGART  | 7     |
| INTEGSCI  | 22    |
| INTER-AG  | 18    |
| INTER-HE  | 11    |
| INTER-LS  | 22    |
| INTEREGR  | 16    |
| INTLBUS   | 21    |
| INTLST    | 50    |
| ISYE      | 83    |
| ITALIAN   | 53    |
| JEWISH    | 56    |
| JOURN     | 88    |
| KINES     | 128   |
| LACIS     | 26    |
| LANDARC   | 61    |
| LATIN     | 24    |
| LAW       | 120   |
| LEGALST   | 48    |
| LINGUIS   | 35    |
| LIS       | 89    |
| LITTRANS  | 78    |
| LSC       | 52    |
| M\&ENVTOX | 7     |
| MARKETNG  | 62    |
| MATH      | 153   |
| MDGENET   | 8     |
| ME        | 130   |
| MEDHIST   | 43    |
| MEDICINE  | 60    |
| MEDIEVAL  | 32    |
| MEDPHYS   | 39    |
| MEDSC-M   | 29    |
| MEDSC-V   | 41    |
| MHR       | 68    |
| MICROBIO  | 45    |
| MILSCI    | 16    |
| MM\&I     | 22    |
| MOLBIOL   | 6     |
| MS\&E     | 59    |
| MUSIC     | 165   |
| MUSPERF   | 126   |
| NAVSCI    | 20    |
| NE        | 44    |
| NEURODPT  | 11    |
| NEUROL    | 7     |
| NEURSURG  | 4     |
| NTP       | 11    |
| NURSING   | 111   |
| NUTRSCI   | 65    |
| OBS\&GYN  | 18    |
| OCCTHER   | 39    |
| ONCOLOGY  | 14    |
| OPHTHALM  | 5     |
| OTM       | 43    |
| PATH      | 34    |
| PATH-BIO  | 29    |
| PEDIAT    | 26    |
| PHARMACY  | 31    |
| PHILOS    | 77    |
| PHMCOL-M  | 11    |
| PHMPRAC   | 45    |
| PHMSCI    | 60    |
| PHYASST   | 37    |
| PHYSICS   | 88    |
| PHYSIOL   | 3     |
| PHYTHER   | 37    |
| PLANTSCI  | 52    |
| PLPATH    | 35    |
| POLISCI   | 192   |
| POPHLTH   | 58    |
| PORTUG    | 33    |
| PSYCH     | 101   |
| PSYCHIAT  | 22    |
| PUBAFFR   | 54    |
| PUBLHLTH  | 23    |
| RADIOL    | 11    |
| REALEST   | 41    |
| RELIGST   | 90    |
| RHABMED   | 9     |
| RMI       | 24    |
| RP\&SE    | 102   |
| S\&APHM   | 17    |
| SCANDST   | 73    |
| SLAVIC    | 89    |
| SOC       | 149   |
| SOCWORK   | 87    |
| SOILSCI   | 46    |
| SPANISH   | 83    |
| SRMED     | 21    |
| STAT      | 94    |
| STDYABRD  | 52    |
| STS       | 8     |
| SURGERY   | 25    |
| SURGSCI   | 33    |
| THEATRE   | 91    |
| URBRPL    | 60    |
| UROLOGY   | 5     |
| ZOOLOGY   | 89    |

## course

### run id

20260907T155543-ce3781c4

### semester

1272

### observed at

2026-09-07 15:55:43.033547+00:00

### record version id

ab3d2ade8e8993de6ad11a24b0ef8030aa21806af084a82ccc398a6537c2834a

### course id

BMI/STAT 727

### course uid

course\_7ee7d113f019ab01285276bf

### catalog version id

0695c21d19465323dee6895223a91d31b8711dd67ed49a567757bd168da83210

### course number

727

### subjects

* BMI
* STAT

### title

THEORY AND METHODS OF LONGITUDINAL DATA ANALYSIS

### description

Theory and methods of fundamental statistical models for the analysis of longitudinal data, including repeated measures analysis of variance, linear mixed models, generalized linear mixed models, and generalized estimating equations. Introduction of how to implement these methods in statistical softwares such as in R and/or SAS, within the context of appropriate statistical models and carry out and interpret analyses.

### requirements text

STAT 610

### credit offering ids

None recorded.

### llm job id

enrich-8b774950c2b6adfdc46d1b82

### llm output id

054093ae69f5325b31a12849bd6d2e1896e5c4a3bfbf33d02bb63985fe239980

### llm model

nvidia/Qwen3.6-35B-A3B-NVFP4

### llm model revision

1355db6a052410cfd62085d94b58866fd0f2c3c5

### llm task version

14

### llm search status

valid

### llm summary

Covers theory and methods for longitudinal data analysis, including mixed models and GEEs, with implementation in R and SAS.

### llm topics

* Repeated measures analysis of variance
* Linear mixed models
* Generalized linear mixed models
* Generalized estimating equations

### llm skills

* Implementing statistical models in R and SAS
* Carrying out and interpreting statistical analyses

### llm assumed background

* Statistical inference, distribution theory, and hypothesis testing

### llm search phrases

* longitudinal data analysis
* linear mixed models
* generalized estimating equations
* R SAS statistical software
* repeated measures ANOVA

### llm requirements status

valid

### llm student summary status

valid

### llm experience status

insufficient\_evidence

### catalog variants

None recorded.

### student summary

#### context hash

2e3f39aa7a37e701c924986082695028d1e34b44f7ab546f9c7b4cba142da317

#### course id

BMI/STAT 727

#### current instructors

None recorded.

#### difficulty workload

None recorded.

#### errors

None recorded.

#### historical context

None recorded.

#### message

No course-specific reviews available

#### offered

false

#### profile hash

5cb4dabf887cdbcd8c00d5a1312e10828b95c63f30bc3ea76aea199565390d02

#### quick take

Recent recorded grades — Fall 2023: 3.96 GPA, 100.0% A/AB (n=14 letter grades); Fall 2025: 4.00 GPA, 100.0% A/AB (n=28 letter grades).

```json
{
  "citations": [
    {
      "course_id": "BMI/STAT 727",
      "run_id": "20260907T155543-ce3781c4",
      "source_record": {
        "entity_id": "977c2cb3-90b6-3eb4-b7b9-87f12234543c",
        "file": "tables/observations.parquet",
        "kind": "grades",
        "source": "madgrades"
      },
      "table": "grades_latest",
      "term_id": "1242",
      "type": "grade"
    },
    {
      "course_id": "BMI/STAT 727",
      "run_id": "20260907T155543-ce3781c4",
      "source_record": {
        "entity_id": "977c2cb3-90b6-3eb4-b7b9-87f12234543c",
        "file": "tables/observations.parquet",
        "kind": "grades",
        "source": "madgrades"
      },
      "table": "grades_latest",
      "term_id": "1262",
      "type": "grade"
    }
  ]
}
```

#### student experience

None recorded.

#### task hash

74fb0997943e888960bbc9e47db8c4fd12e4292d55c20509d8d89db6a9910f68

#### teaching history

None recorded.

#### term id

1272

#### term name

2026 Fall

#### version

2

### requirements

#### nodes

```json
[
  {
    "children": [],
    "condition": null,
    "course": {
      "course_number": 610,
      "minimum_grade": null,
      "subjects": [
        "STAT"
      ],
      "timing": "prior"
    },
    "evidence": "STAT 610",
    "id": "n0",
    "kind": "course"
  }
]
```

#### notes

None recorded.

#### root

n0

#### status

parsed

### instructors

None recorded.

### offerings

None recorded.

### sections

None recorded.

### grade instructors

```json
[
  {
    "instructor_uid": "instructor_57424157730da96ec177f067",
    "source": "madgrades",
    "source_instructor_id": "4286103",
    "identity_basis": "source_id",
    "identity_status": "source_identified",
    "name": "JIWEI ZHAO",
    "email": null,
    "first_observed_at": "2026-09-06 23:14:58.172943+00:00",
    "last_observed_at": "2026-09-07 15:55:43.033547+00:00",
    "grade_statistics": {
      "gpa": 3.918,
      "graded": 116,
      "counts": [
        106,
        7,
        2,
        0,
        0,
        0,
        1
      ],
      "sections": 19
    },
    "instructor_url": "/instructors/JIWEI_ZHAO--instructor_57424157730da96ec177f067"
  },
  {
    "instructor_uid": "instructor_89258e9344e6e1020d65c557",
    "source": "madgrades",
    "source_instructor_id": "6317790",
    "identity_basis": "source_id",
    "identity_status": "source_identified",
    "name": "TINGHUI XU",
    "email": null,
    "first_observed_at": "2026-09-06 23:14:58.172943+00:00",
    "last_observed_at": "2026-09-07 15:55:43.033547+00:00",
    "grade_statistics": {
      "gpa": 3.964,
      "graded": 14,
      "counts": [
        13,
        1,
        0,
        0,
        0,
        0,
        0
      ],
      "sections": 1
    },
    "instructor_url": "/instructors/TINGHUI_XU--instructor_89258e9344e6e1020d65c557"
  }
]
```

### grades

```json
[
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "BMI/STAT 727",
    "course_uid": "course_7ee7d113f019ab01285276bf",
    "term_id": "1242",
    "term_name": "Fall 2023",
    "instructors": [
      "Jiwei Zhao",
      "TINGHUI XU"
    ],
    "a": 13,
    "ab": 1,
    "b": 0,
    "bc": 0,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 14,
    "source_aliases": [
      "BMI/STAT 727"
    ]
  },
  {
    "run_id": "20260907T155543-ce3781c4",
    "semester": "1272",
    "observed_at": "2026-09-07 15:55:43.033547+00:00",
    "course_id": "BMI/STAT 727",
    "course_uid": "course_7ee7d113f019ab01285276bf",
    "term_id": "1262",
    "term_name": "Fall 2025",
    "instructors": [
      "Jiwei Zhao"
    ],
    "a": 28,
    "ab": 0,
    "b": 0,
    "bc": 0,
    "c": 0,
    "d": 0,
    "f": 0,
    "satisfactory": 0,
    "unsatisfactory": 0,
    "credit": 0,
    "no_credit": 0,
    "passed": 0,
    "incomplete": 0,
    "no_work": 0,
    "not_reported": 0,
    "other": 0,
    "total": 28,
    "source_aliases": [
      "BMI/STAT 727"
    ]
  }
]
```

### statistics

#### gpa

3.988

#### graded

42

#### counts

* 41
* 1
* 0
* 0
* 0
* 0
* 0

### grade conflicts

None recorded.

### evidence

#### history

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course\_7ee7d113f019ab01285276bf-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/history/course_7ee7d113f019ab01285276bf-0.json)

#### traces

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course\_7ee7d113f019ab01285276bf-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/traces/course_7ee7d113f019ab01285276bf-0.json)

#### results

* [/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course\_7ee7d113f019ab01285276bf-0.json](https://uwcourses.com/data/e243353dcb7d79b7247ced91d69443ef4c2a6349/results/course_7ee7d113f019ab01285276bf-0.json)

### revision

e243353dcb7d79b7247ced91d69443ef4c2a6349

## context

### all

#### term



#### gpa

3.988095238095238

#### count

42

#### university

##### size

2036

##### gpa Percentile

93

##### count Percentile

19

##### median Count

79.5

##### histogram

| range   | count | current |
| ------- | ----- | ------- |
| 0.0–0.4 | 0     | false   |
| 0.4–0.8 | 0     | false   |
| 0.8–1.2 | 0     | false   |
| 1.2–1.6 | 0     | false   |
| 1.6–2.0 | 0     | false   |
| 2.0–2.4 | 2     | false   |
| 2.4–2.8 | 5     | false   |
| 2.8–3.2 | 175   | false   |
| 3.2–3.6 | 520   | false   |
| 3.6–4.0 | 1334  | true    |

#### departments

```json
[
  {
    "subject": "BMI",
    "comparison": null
  },
  {
    "subject": "STAT",
    "comparison": {
      "size": 46,
      "gpaPercentile": 100,
      "countPercentile": 16,
      "medianCount": 84.5,
      "histogram": [
        {
          "range": "0.0–0.4",
          "count": 0,
          "current": false
        },
        {
          "range": "0.4–0.8",
          "count": 0,
          "current": false
        },
        {
          "range": "0.8–1.2",
          "count": 0,
          "current": false
        },
        {
          "range": "1.2–1.6",
          "count": 0,
          "current": false
        },
        {
          "range": "1.6–2.0",
          "count": 0,
          "current": false
        },
        {
          "range": "2.0–2.4",
          "count": 0,
          "current": false
        },
        {
          "range": "2.4–2.8",
          "count": 0,
          "current": false
        },
        {
          "range": "2.8–3.2",
          "count": 8,
          "current": false
        },
        {
          "range": "3.2–3.6",
          "count": 17,
          "current": false
        },
        {
          "range": "3.6–4.0",
          "count": 21,
          "current": true
        }
      ]
    }
  }
]
```

### terms

#### 1242

##### term

1242

##### gpa

3.9642857142857144

##### count

14

##### departments

| subject | comparison |
| ------- | ---------- |
| BMI     |            |
| STAT    |            |

#### 1262

##### term

1262

##### gpa

4

##### count

28

##### departments

| subject | comparison |
| ------- | ---------- |
| BMI     |            |
| STAT    |            |

### benchmarks

#### all

##### school

###### size

2036

###### gpa

3.6586846928561045

###### top Share

81.96270304729435

###### count

79.5

##### STAT

###### size

46

###### gpa

3.5092281501023104

###### top Share

72.55740739125099

###### count

84.5

#### terms

##### 1242

###### school

###### size

1295

###### gpa

3.595302892737449

###### top Share

78.36291889885307

###### count

67

###### STAT

###### size

34

###### gpa

3.4558758327213903

###### top Share

69.10154863162224

###### count

55

##### 1262

###### school

###### size

1320

###### gpa

3.628825763035853

###### top Share

80.21118846327654

###### count

70

###### STAT

###### size

29

###### gpa

3.415022952129974

###### top Share

64.95385808199006

###### count

81

## instructor Trends

```json
[
  {
    "uid": "instructor_57424157730da96ec177f067",
    "name": "JIWEI ZHAO",
    "count": 42,
    "terms": [
      {
        "term": "1242",
        "count": 14,
        "sections": 1,
        "gpa": 3.9642857142857144
      },
      {
        "term": "1262",
        "count": 28,
        "sections": 1,
        "gpa": 4
      }
    ]
  },
  {
    "uid": "instructor_89258e9344e6e1020d65c557",
    "name": "TINGHUI XU",
    "count": 14,
    "terms": [
      {
        "term": "1242",
        "count": 14,
        "sections": 1,
        "gpa": 3.9642857142857144
      }
    ]
  }
]
```

## following

None recorded.
