Tarefa nist_anova.smls09.agent

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NIST Statistical Reference Datasets, one-way analysis of variance, problem SmLs09: generated data with 13 constant leading digits; one factor (treatment) with 9 levels and 18009 observations in a balanced design, model y_ij = mu + tau_i + e_ij. Dataset d holds the factor treatment (levels 1 to 9), the response response, and indicator columns treatment_2 to treatment_9 (1 when the row is at that level; level 1 is the reference). Compute the ANOVA F statistic for the hypothesis that all 9 treatment effects are equal: the between-treatment mean square divided by the within-treatment mean square.

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1. 0Início

   NIST Statistical Reference Datasets, one-way analysis of variance, problem SmLs09: generated data with 13 constant leading digits; one factor (treatment) with 9 levels and 18009 observations in a balanced design, model y_ij = mu + tau_i + e_ij. Dataset d holds the factor treatment (levels 1 to 9), the response response, and indicator columns treatment_2 to treatment_9 (1 when the row is at that level; level 1 is the reference). Compute the ANOVA F statistic for the hypothesis that all 9 treatment effects are equal: the between-treatment mean square divided by the within-treatment mean square.

   d (agent)

   NIST StRD SmLs09: 18009 observations; treatment = the treatment level (1 to 9), response = the response, treatment_2 … treatment_9 = 1 when the row is at that treatment level (level 1 is the reference)

   file aa610b390c8d947ec258e32df0f43467fcb1820f47c5ce25a993ae1d9c715ae7 · frame —

   1. dummies {"column":"treatment","drop_first":true,"prefix":"treatment"}
2. 1Transformação
   d · dummies {"column":"treatment","drop_first":true,"prefix":"treatment"}

   18009 → 18009 linhas

   Frame antes → depois: 8db499972bbb → 874bc9ba9917
3. 2Turno do modelo
   call_b69fadccreferenceFim: tool_use0 ms0 de entrada · 0 de saída · 0 de raciocínio · 0 em cache

   Texto visível

   With classical errors, the joint test that every indicator's coefficient is zero is the one-way ANOVA F.

   Chamadas pedidas

   • infer.linear_hypothesis

     {
       "dataset": "d",
       "hypothesis": "treatment_2 = 0, treatment_3 = 0, treatment_4 = 0, treatment_5 = 0, treatment_6 = 0, treatment_7 = 0, treatment_8 = 0, treatment_9 = 0",
       "se": "classical",
       "x": [
         "treatment_2",
         "treatment_3",
         "treatment_4",
         "treatment_5",
         "treatment_6",
         "treatment_7",
         "treatment_8",
         "treatment_9"
       ],
       "y": "response"
     }

   Mensagens (formato neutro)Instruções do sistemaFerramentas oferecidas
4. 3Ferramenta
   infer.linear_hypothesisv0.1.0call_be9be17cdecidido pelo modeloreexecutável

   Motivo: With classical errors, the joint test that every indicator's coefficient is zero is the one-way ANOVA F.

   Argumentos

   {
     "cluster": null,
     "dataset": "d",
     "hypothesis": "treatment_2 = 0, treatment_3 = 0, treatment_4 = 0, treatment_5 = 0, treatment_6 = 0, treatment_7 = 0, treatment_8 = 0, treatment_9 = 0",
     "se": "classical",
     "subset": null,
     "x": [
       "treatment_2",
       "treatment_3",
       "treatment_4",
       "treatment_5",
       "treatment_6",
       "treatment_7",
       "treatment_8",
       "treatment_9"
     ],
     "y": "response"
   }

   Figuras call_be9be17c

   Chave	Valor	Valor bruto	Erro-padrão	IC
   F F statistic of treatment_2 = 0; treatment_3 = 0; treatment_4 = 0; treatment_5 = 0; treatment_6 = 0; treatment_7 = 0; treatment_8 = 0; treatment_9 = 0	2.001,13	2001.1349262180404	—	—
   p_value p-value of treatment_2 = 0; treatment_3 = 0; treatment_4 = 0; treatment_5 = 0; treatment_6 = 0; treatment_7 = 0; treatment_8 = 0; treatment_9 = 0	0 probability	0	—	—

   Diagnósticos

   • statistic = "F"
   • df_numerator = 88
   • df_denominator = 18.00018000
   • se_type = "classical"
   • n_obs = 18.00918009
   • n_clusters = —

   Tabelas (2)

   {
     "coefficients": [
       {
         "ci_high": 1000000000000.4044,
         "ci_low": 1000000000000.3956,
         "coef": 1000000000000.4,
         "p": 0,
         "se": 0.0022355699150202234,
         "t": 447313230188711.75,
         "term": "Intercept"
       },
       {
         "ci_high": -0.09383960410130877,
         "ci_low": -0.10623357708119084,
         "coef": -0.10003659059124981,
         "p": 6.931521624154509e-214,
         "se": 0.0031615732934548975,
         "t": -31.64139537689858,
         "term": "treatment_2"
       },
       {
         "ci_high": 0.10617257242774376,
         "ci_low": 0.09377859944786206,
         "coef": 0.09997558593780291,
         "p": 1.2365005332269767e-213,
         "se": 0.0031615732934548086,
         "t": 31.622099713701278,
         "term": "treatment_3"
       },
       {
         "ci_high": -0.09383960410113809,
         "ci_low": -0.10623357708101944,
         "coef": -0.10003659059107876,
         "p": 6.931521635018747e-214,
         "se": 0.0031615732934547115,
         "t": -31.64139537684634,
         "term": "treatment_4"
       },
       {
         "ci_high": 0.1061725724274336,
         "ci_low": 0.09377859944755108,
         "coef": 0.09997558593749234,
         "p": 1.2365005369444156e-213,
         "se": 0.0031615732934550107,
         "t": 31.622099713601024,
         "term": "treatment_5"
       },
       {
         "ci_high": -0.09383960410132425,
         "ci_low": -0.10623357708120681,
         "coef": -0.10003659059126553,
         "p": 6.9315216233830005e-214,
         "se": 0.0031615732934550237,
         "t": -31.641395376902288,
         "term": "treatment_6"
       },
       {
         "ci_high": 0.10617257242756717,
         "ci_low": 0.09377859944768441,
         "coef": 0.09997558593762579,
         "p": 1.2365005354038572e-213,
         "se": 0.0031615732934550775,
         "t": 31.622099713642566,
         "term": "treatment_7"
       },
       {
         "ci_high": -0.09383960410102894,
         "ci_low": -0.10623357708091115,
         "coef": -0.10003659059097005,
         "p": 6.931521642630458e-214,
         "se": 0.0031615732934549327,
         "t": -31.64139537680974,
         "term": "treatment_8"
       },
       {
         "ci_high": 0.10617257242755622,
         "ci_low": 0.09377859944767418,
         "coef": 0.0999755859376152,
         "p": 1.2365005354595353e-213,
         "se": 0.0031615732934548923,
         "t": 31.622099713641067,
         "term": "treatment_9"
       }
     ],
     "restrictions": [
       {
         "estimate": -0.10003659059124981,
         "hypothesized": 0,
         "restriction": "treatment_2 = 0"
       },
       {
         "estimate": 0.09997558593780291,
         "hypothesized": 0,
         "restriction": "treatment_3 = 0"
       },
       {
         "estimate": -0.10003659059107876,
         "hypothesized": 0,
         "restriction": "treatment_4 = 0"
       },
       {
         "estimate": 0.09997558593749234,
         "hypothesized": 0,
         "restriction": "treatment_5 = 0"
       },
       {
         "estimate": -0.10003659059126553,
         "hypothesized": 0,
         "restriction": "treatment_6 = 0"
       },
       {
         "estimate": 0.09997558593762579,
         "hypothesized": 0,
         "restriction": "treatment_7 = 0"
       },
       {
         "estimate": -0.10003659059097005,
         "hypothesized": 0,
         "restriction": "treatment_8 = 0"
       },
       {
         "estimate": 0.0999755859376152,
         "hypothesized": 0,
         "restriction": "treatment_9 = 0"
       }
     ]
   }

   Digests dos dados

   d 874bc9ba991716686e5848d5038f3dc97ad37b6f45a1252dbdbae909e44faeb8

   sha256 do resultado

   c68c821bb3b16eb032d9aa499586996cd2b13e86f9edf3947f7e87f11886f5ec

   Resultado mostrado ao modelo
5. 4Turno do modelo
   call_3a0010d0referenceFim: tool_use0 ms0 de entrada · 0 de saída · 0 de raciocínio · 0 em cache

   Chamadas pedidas

   • submit_answer (meta-ferramenta)

     {
       "answer": "Estimativa (infer.linear_hypothesis): F = 2001.",
       "caveats": [],
       "figure_refs": [
         "call_be9be17c:F"
       ]
     }

   Mensagens (formato neutro)Instruções do sistemaFerramentas oferecidas
6. 5Guarda
   resposta aceita

   Números encontrados

   2001

   Sem lastro

   —

   Não citados

   —

   1 nova(s) tentativa(s) restante(s)
7. 6Resposta

   Estimativa (infer.linear_hypothesis): F = 2001.

   Figuras citadas: call_be9be17c:F · Parada: answered

   Figura da resposta: call_be9be17c:F = 2.001,132001.1349262180404
8. 7Pontuação
   #0resposta com lastropassouobrigatóriaevery number backed
9. 8Pontuação
   #1resposta citapassouobrigatóriacited ['call_be9be17c:F']
10. 9Pontuação
    #2ferramenta chamadapassouobrigatóriaanswer call is infer.linear_hypothesis
11. 10Pontuação
    #3argumento igualpassouobrigatóriainfer.linear_hypothesis.se = 'classical'
12. 11Pontuação
    #4diagnósticopassouobrigatória8 vs 8
13. 12Pontuação
    #5diagnósticopassouobrigatória18000 vs 18000
14. 13Pontuação
    #6dígitos corretos (LRE)falhouobrigatóriaLRE 4.17 (min 6.0)

Épocas × verificações

Tentativas

Cada tentativa é seu próprio arquivo e é publicada; só a última de cada época é pontuada.

• época 1, tentativa 1falhoupontuada(exibindo)

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