| Outcome Measures: |
Primary: Constrained Longitudinal Data Analysis of Change From Baseline in Hemoglobin A1c (HbA1c) at Week 16 Excluding Data After Glycemic Rescue (Phase A), HbA1c is a measure of the percentage of glycated hemoglobin in the blood. Participant whole blood samples were collected at baseline and Week 16 to determine the Constrained Longitudinal Data Analysis least squares mean HbA1c change from baseline (i.e., HbA1c at Week 16 minus HbA1c at baseline). Participants that met rescue criteria had their insulin dose adjusted as determined clinically appropriate by the investigator to manage glycemic control. Data after glycemic rescue were excluded from this analysis. Negative data values indicated a reduction in HbA1c levels., Baseline (Day 1) and Week 16|Percentage of Participants Who Experienced One or More Adverse Events (AE) Excluding Data After Glycemic Rescue (Phase A), An adverse event is defined as any unfavourable and unintended sign, symptom, or disease temporally associated with the use of a medicinal product or protocol specified procedure, whether or not considered related to the medicinal product or protocol-specified procedure. Any worsening (i.e., any clinically significant adverse change in frequency and/or intensity) of a preexisting condition that is temporally associated with the use of the Sponsor's product, is also an adverse event. Participants that met rescue criteria had their insulin dose adjusted as determined clinically appropriate by the investigator to manage glycemic control. Data after glycemic rescue were excluded from this analysis., Up to Week 16|Percentage of Participants Who Experienced One or More AE (Omarigliptin [Phase A+B]; Placebo→Omarigliptin [Phase B Only]), An adverse event is defined as any unfavourable and unintended sign, symptom, or disease temporally associated with the use of a medicinal product or protocol specified procedure, whether or not considered related to the medicinal product or protocol-specified procedure. Any worsening (i.e., any clinically significant adverse change in frequency and/or intensity) of a preexisting condition that is temporally associated with the use of the Sponsor's product, is also an adverse event. Participants that met rescue criteria had their insulin dose adjusted as determined clinically appropriate by the investigator to manage glycemic control. The results for the Placebo→Omarigliptin group summarized data from the open label period only (36 weeks), which corresponds to the study interval in which those participants were exposed to omarigliptin., Up to Week 52|Percentage of Participants Who Discontinued Study Drug Due to an AE Excluding Data After Glycemic Rescue (Phase A), An adverse event is defined as any unfavourable and unintended sign, symptom, or disease temporally associated with the use of a medicinal product or protocol specified procedure, whether or not considered related to the medicinal product or protocol-specified procedure. Any worsening (i.e., any clinically significant adverse change in frequency and/or intensity) of a preexisting condition that is temporally associated with the use of the Sponsor's product, is also an adverse event. Participants that met rescue criteria had their insulin dose adjusted as determined clinically appropriate by the investigator to manage glycemic control. Data after glycemic rescue were excluded from this analysis., Up to Week 16|Percentage of Participants Who Discontinued Study Drug Due to an AE Including Data After Glycemic Rescue (Omarigliptin [Phase A+B]; Placebo→Omarigliptin [Phase B Only]), An adverse event is defined as any unfavourable and unintended sign, symptom, or disease temporally associated with the use of a medicinal product or protocol specified procedure, whether or not considered related to the medicinal product or protocol-specified procedure. Any worsening (i.e., any clinically significant adverse change in frequency and/or intensity) of a preexisting condition that is temporally associated with the use of the Sponsor's product, is also an adverse event. Participants that met rescue criteria had their insulin dose adjusted as determined clinically appropriate by the investigator to manage glycemic control. The results for the Placebo→Omarigliptin group summarized data from the open label period only (36 weeks), which corresponds to the study interval in which those participants were exposed to omarigliptin., Up to Week 52 | Secondary: Constrained Longitudinal Data Analysis of Change From Baseline in Fasting Plasma Glucose (FPG) at Week 16 Excluding Data After Glycemic Rescue (Phase A), Blood glucose was measured on a fasting basis. FPG is expressed as mg/dL. Blood was drawn at predose on Day 1 and after 16 weeks of treatment to determine Constrained Longitudinal Data Analysis change in plasma glucose levels (i.e., FPG at Week 16 minus FPG at baseline). Participants that met rescue criteria had their insulin dose adjusted as determined clinically appropriate by the investigator to manage glycemic control. Data after glycemic rescue were excluded from this analysis. Negative data values indicated a reduction in FPG levels., Baseline (Day 1) and Week 16|Percentage of Participants Achieving Hemoglobin A1c Goals (<7.0%) at Week 16 Constrained Longitudinal Data Analysis Using Multiple Imputation Excluding Data After Glycemic Rescue (Phase A), HbA1c is a measure of the percentage of glycated hemoglobin in the blood. Participants that met rescue criteria had their insulin dose adjusted as determined clinically appropriate by the investigator to manage glycemic control. Data after glycemic rescue were excluded from this analysis. Each of the 10 imputed data sets was summarized to obtain the percentage of responders within each group and were combined using standard multiple imputation techniques to yield an overall estimate of response rate and associated variance for each group. A constrained longitudinal data analysis was used to analyze the data and Wilson score method by treatment groups used for the analysis of percentages of individuals at the HbA1c goals of \<7.0% at Week 16 and the 95% confidence intervals (CIs). Miettinen \& Nurminen (M\&N) method after imputations were used to calculate the treatment differences of the percentages of individuals and the 95% CIs., Week 16|Percentage of Participants Achieving HbA1c Goals (<6.5%) at Week 16 Constrained Longitudinal Data Analysis Using Multiple Imputation Excluding Data After Glycemic Rescue (Phase A), HbA1c is a measure of the percentage of glycated hemoglobin in the blood. Participants that met rescue criteria had their insulin dose adjusted as determined clinically appropriate by the investigator to manage glycemic control. Data after glycemic rescue were excluded from this analysis. Each of the 10 imputed data sets was summarized to obtain the percentage of responders within each group and were combined using standard multiple imputation techniques to yield an overall estimate of response rate and associated variance for each group. A constrained longitudinal data analysis was used to analyze the data and Wilson score method by treatment groups used for the analysis of percentages of individuals at the HbA1c goals of \<6.5% at Week 16 and the 95% confidence intervals (CIs). Miettinen \& Nurminen (M\&N) method after imputations were used to calculate the treatment differences of the percentages of individuals and the 95% CIs., Week 16|Constrained Longitudinal Data Analysis of Change From Baseline in 1,5-anhydroglucitol (1,5-AG) at Week 16 Excluding Data After Glycemic Rescue (Phase A), 1,5-anhydroglucitol (1,5-AG) is a marker of short-term glycemic control especially postprandial hyperglycemia. 1,5-AG accurately predicts rapid changes in glycemia and is tightly associated with glucose fluctuations and postprandial glucose. Participants that met rescue criteria had their insulin dose adjusted as determined clinically appropriate by the investigator to manage glycemic control. Data after glycemic rescue were excluded from this analysis. Data (1,5-AG at Week 16 minus 1,5-AG at baseline) was analyzed by Constrained Longitudinal Data Analysis. Positive data values indicate an increase in 1,5-AG levels and correlate with an improvement in glycemia., Baseline (Day 1) and Week 16|Change From Baseline in Hemoglobin A1c (HbA1c) at Week 52 (Phase A+B), HbA1c is a measure of the percentage of glycated hemoglobin in the blood. Participant whole blood samples were collected at baseline and Week 52 to determine the mean HbA1c change from baseline (i.e., HbA1c at Week 52 minus HbA1c at baseline). Participants that met rescue criteria had their insulin dose adjusted as determined clinically appropriate by the investigator to manage glycemic control. Negative data values indicated a reduction in HbA1c levels., Baseline (Day 1) and Week 52|Change From Baseline in Fasting Plasma Glucose (FPG) at Week 52 (Phase A+B), Blood glucose was measured on a fasting basis. FPG is expressed as mg/dL. Blood was drawn at predose on Day 1 and after 52 weeks of treatment to determine change in plasma glucose levels (i.e., FPG at Week 52 minus FPG at baseline). Participants that met rescue criteria had their insulin dose adjusted as determined clinically appropriate by the investigator to manage glycemic control. Negative data values indicated a reduction in FPG levels., Baseline (Day 1) and Week 52|Percentage of Participants Achieving Hemoglobin A1c Goals (<7.0%) at Week 52 (Phase A+B), HbA1c is a measure of the percentage of glycated hemoglobin in the blood. Participants that met rescue criteria had their insulin dose adjusted as determined clinically appropriate by the investigator to manage glycemic control. For the HbA1c goals of \<7.0% at Week 52, the percentage of participants and the 95% confidence intervals were calculated using Wilson score method by treatment groups of the double-blind period., Week 52|Percentage of Participants Achieving Hemoglobin A1c Goals (<6.5%) at Week 52 (Phase A+B), HbA1c is a measure of the percentage of glycated hemoglobin in the blood. Participants that met rescue criteria had their insulin dose adjusted as determined clinically appropriate by the investigator to manage glycemic control. For the HbA1c goals of \<6.5% at Week 52, the percentage of participants and the 95% confidence intervals were calculated using Wilson score method by treatment groups of the double-blind period., Week 52
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