Statistical Results Interpretation
Summary Table
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Category |
Statistical Method / Measure |
Results Statement |
Clinical Interpretation of the Effect Estimate |
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Descriptive statistics |
Mean ± SD |
The mean age of patients with NSCLC
was 63.4 ± 9.8 years. |
The average patient age was 63.4
years, with most individuals falling within approximately 10 years around the mean. |
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Descriptive statistics |
Median (IQR) |
The median follow-up time was 26
months (IQR: 16–41). |
A typical patient was followed for
just over 26 months, with most patients having follow-up durations
between approximately 1.5 and 3.5 years. |
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Descriptive statistics |
n (%) |
Male patients accounted for
61.2% (n = 184) of the cohort. |
Approximately 61% patients in the
study population were male. |
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Baseline comparison |
t test |
There was no significant difference
in age between the pembrolizumab and chemotherapy groups (63.1 ± 9.6 vs 63.8
± 10.1 years, P = 0.47). |
The mean age differed by
approximately 0.7 years between groups, indicating similar age
distributions/ comparable age. |
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Baseline comparison |
χ˛ test |
PD-L1 expression levels were
comparable between the two groups (χ˛ = 1.82, P = 0.18). |
The distribution of PD-L1 expression
categories was similar between treatment groups. |
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Continuous outcome comparison |
Mean difference |
Pembrolizumab significantly prolonged/increased
PFS compared with chemotherapy (8.4 vs 5.6 months; mean difference = 2.8
months, P = 0.01). |
Compared with chemotherapy,
pembrolizumab was associated with an average prolongation of PFS by 2.8
months. |
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Categorical outcome comparison |
Proportion |
The objective response rate was
higher in the pembrolizumab group (38.5% vs 21.4%, P = 0.005). |
Compared with chemotherapy,
pembrolizumab was associated with a higher likelihood of achieving an
objective response, with an absolute difference of 17.1%. |
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Correlation analysis |
Pearson correlation |
PD-L1 expression was moderately
correlated with progression-free survival (r = 0.42, P < 0.001). |
A correlation coefficient of 0.42
indicates a moderate positive association, with higher PD-L1 expression
generally corresponding to longer PFS. |
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Linear regression |
Linear regression (β) |
Higher PD-L1 expression was
associated with longer PFS (β = 0.18 months per 10% increase, 95% CI:
0.09–0.27, P < 0.001). |
A β of 0.18 indicates that for
every 10% increase in PD-L1 expression, mean PFS increases by
approximately 0.18 months. |
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Logistic regression |
Odds ratio (OR) |
Pembrolizumab treatment was
associated with a higher likelihood of objective response, (OR = 2.32, 95%
CI: 1.45–3.71, P < 0.001). |
An OR of 2.32 indicates that the
odds of achieving an objective response were approximately 2.3 times
higher with pembrolizumab than with chemotherapy. |
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Survival analysis |
Kaplan–Meier |
Kaplan–Meier curves demonstrated
improved PFS in the pembrolizumab group (median PFS: 8.4 vs 5.6 months). |
The median time to disease
progression was delayed by approximately 2.8 months in the
pembrolizumab group. |
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Survival comparison |
Log-rank test |
PFS differed significantly between
the two groups (log-rank P = 0.01). |
The timing of disease progression
over follow-up differed between treatment groups. |
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Cox regression |
Hazard ratio (HR) |
Pembrolizumab significantly reduced
the risk of disease progression (HR = 0.65, 95% CI: 0.48–0.88, P = 0.004). |
An HR of 0.65 indicates that, at any
given time point, the risk of disease progression was approximately 35%
lower with pembrolizumab. |
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Multivariable analysis |
Adjusted Cox model |
Pembrolizumab remained an
independent protective factor after adjustment (adjusted HR = 0.68, 95% CI:
0.51–0.90, P = 0.01). |
After adjustment for covariates, the risk of disease progression
remained approximately 32% lower in the pembrolizumab group. |
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Subgroup analysis |
Subgroup analysis |
Consistent PFS benefit was observed
across PD-L1 subgroups (P for interaction = 0.41). |
Similar magnitudes of risk reduction were observed across PD-L1
subgroups. |
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Interaction analysis |
Interaction test |
No significant interaction was
observed between treatment and PD-L1 expression (P for interaction = 0.41). |
The effect size of pembrolizumab did
not meaningfully differ across PD-L1 levels. |
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Sensitivity analysis |
Sensitivity analysis |
Results remained robust after
excluding patients with follow-up < 3 months (HR range: 0.62–0.70). |
Across sensitivity analyses, the
estimated reduction in progression risk ranged from approximately 30% to
38%. |
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Non-significant result |
Non-significant result |
OS was longer in the pembrolizumab
group but not statistically significant (HR = 0.82, 95% CI: 0.64–1.05, P =
0.09). |
Pembrolizumab was associated with a
lower estimated risk of death (HR = 0.82), but the confidence interval
included unity and the difference did not reach
statistical significance. |
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Trend |
Trend |
A trend toward improved overall survival was observed in the pembrolizumab group compared with the control
group (median OS: 20.1 vs 17.3 months). |
The median overall survival was
prolonged by approximately 2.8 months. |
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Effect summary |
Effect estimate |
Pembrolizumab demonstrated a
clinically meaningful treatment effect (HR < 1 with a narrow 95% CI). |
An HR below 1 with a relatively
narrow confidence interval suggests a stable estimate of reduced
progression risk. |
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Adjusted summary |
Multivariable model |
Pembrolizumab was independently
associated with improved outcomes after adjustment (P < 0.05). |
The estimated treatment effect remained
statistically different from the null after covariate adjustment. |
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Risk comparison |
Relative Risk (RR) |
Pembrolizumab reduced the risk of
disease progression compared with chemotherapy (RR = 0.72, 95% CI:
0.60–0.86). |
An RR of 0.72 indicates that the
probability of disease progression was approximately 72% of that
observed with chemotherapy. |
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Risk difference |
Absolute risk difference |
The absolute risk of progression was
18% lower in the pembrolizumab group. |
Out of every 100 patients treated,
approximately 18 fewer experienced disease progression. |
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Clinical relevance |
Number Needed to Treat (NNT) |
The NNT= 6 to prevent one
progression event was 6. |
On average, treating 6 patients prevents
one additional progression event. |
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Survival analysis |
RMST difference |
RMST over 24
months was longer in the pembrolizumab group (difference = 1.9 months, P =
0.02). |
Within the first 24 months of
follow-up, patients treated with pembrolizumab experienced, on average,
approximately 1.9 additional months without progression compared with
those receiving chemotherapy. |
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Event frequency |
cumulative Incidence |
Disease progression occurred in
42.3% of the pembrolizumab group versus 58.1% of controls. |
The cumulative proportion of
patients experiencing progression was reduced by approximately 15.8
percentage points. |
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Event rate |
Incidence rate |
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Regression model |
R˛ |
The linear regression model explained
32% of the variance in PFS (R˛ = 0.32). |
Approximately 32% of the variability
in PFS was accounted for by the variables included in the model. |
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Model discrimination |
C-statistic
/ AUC |
The model demonstrated good
discrimination (C-statistic = 0.74). |
A C-statistic of 0.74 indicates a
74% probability of correctly distinguishing between patients with and
without progression. |
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Uncertainty |
Standard Error (SE) |
The estimated mean difference had an
SE of 0.6 months. |
The sampling variability of the
estimated mean difference is approximately ±0.6 months. |
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Sensitivity analysis |
E-value |
The E-value for the observed HR was
2.1. |
An unmeasured confounder would need
to be associated with both treatment and outcome by a risk ratio of
approximately 2.1 to fully explain the observed effect. |
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Multiple comparison |
Adjusted P value |
The association remained significant
after multiplicity adjustment (adjusted P = 0.03). |
The effect estimate remained
statistically distinguishable from the null after correction for multiple
testing. |
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Model assumption |
PH assumption test |
The proportional hazards assumption was
not violated (P = 0.62). |
The hazard ratio can be reasonably
interpreted as approximately constant over time. |
Results Section · Commonly Used Phrase
I. Study Population and Baseline Characteristics
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Scenario |
Common Results Statements |
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Sample size |
A total of 302 patients with non–small cell lung cancer were included, of whom 156 received pembrolizumab. |
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Baseline comparability |
No statistically significant differences were observed between the two groups with respect to age, sex, disease stage, or smoking status. |
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Baseline imbalance |
Compared with the control group, a higher proportion of patients with high PD-L1 expression was observed in the pembrolizumab group (P = 0.03). |
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Missing data |
A total of 12 patients (4.0%) had missing values for at least one clinical variable. |
II. Efficacy Outcomes
1️⃣ Survival Outcomes (PFS / OS)
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Scenario |
Common Results Statements |
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PFS description |
The median progression-free survival in the pembrolizumab group was 8.4 months. |
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OS description |
The median overall survival in the overall cohort was 18.6 months. |
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Between-group comparison |
Progression-free survival was significantly longer in the pembrolizumab group than in the control group (P = 0.01). |
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Kaplan–Meier analysis |
Kaplan–Meier survival curves demonstrated a significant difference in progression-free survival over follow-up between the two groups. |
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Risk reduction |
Pembrolizumab treatment was associated with a significantly reduced risk of disease progression. |
2️⃣ Tumor Response (ORR / DCR)
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Scenario |
Common Results Statements |
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ORR |
The objective response rate in the pembrolizumab group was 38.5%. |
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DCR |
The disease control rate in the pembrolizumab group reached 64.2%. |
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Between-group difference |
Compared with the chemotherapy group, the objective response rate was significantly higher in the pembrolizumab group. |
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Subgroup response |
Patients with high PD-L1 expression demonstrated a significantly higher objective response rate than those with low PD-L1 expression. |
III. Safety Outcomes
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Scenario |
Common Results Statements |
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Overall adverse events |
At least one adverse event occurred in 72.1% of patients receiving pembrolizumab. |
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Severe adverse events |
Grade ≥3 adverse events were observed in 18.4% of patients. |
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Between-group comparison |
No statistically significant difference in the incidence of severe adverse events was observed between the two groups. |
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Immune-related events |
The most common immune-related adverse events included rash and thyroid dysfunction. |
IV. Correlation Analysis
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Scenario |
Common Results Statements |
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Positive correlation |
PD-L1 expression level was significantly positively correlated with progression-free survival. |
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Negative correlation |
Baseline tumor burden was negatively correlated with overall survival. |
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Strength of correlation |
The correlation was of moderate strength (r = 0.41). |
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Adjustment |
The association remained after adjustment for age and disease stage. |
V. Regression Analysis
1️⃣ Univariate Analysis
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Scenario |
Common Results Statements |
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Univariate Cox regression |
In univariate Cox regression analysis, pembrolizumab treatment was significantly associated with a reduced risk of disease progression. |
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Univariate logistic regression |
In univariate analysis, high PD-L1 expression was significantly associated with objective response. |
2️⃣ Multivariable Analysis (Key Results)
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Scenario |
Common Results Statements |
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Multivariable Cox regression |
Multivariable Cox regression analysis demonstrated that pembrolizumab treatment was an independent protective factor against disease progression. |
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Adjusted results |
The association remained statistically significant after adjustment for age, sex, disease stage, and PD-L1 expression. |
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Control of confounding |
The results remained stable after controlling for potential confounding factors. |
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Model stability |
No significant multicollinearity was detected among the variables included in the model. |
VI. Subgroup Analysis
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Scenario |
Common Results Statements |
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Consistency across subgroups |
Consistent treatment benefits of pembrolizumab were observed across all predefined subgroups. |
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Interaction |
No statistically significant interaction between treatment effect and subgroup variables was observed. |
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Specific population |
The treatment benefit appeared to be more pronounced among patients with PD-L1 expression ≥50%. |
VII. Sensitivity Analysis
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Scenario |
Common Results Statements |
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Purpose |
Multiple sensitivity analyses were performed to assess the robustness of the findings. |
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Exclusion analysis |
After excluding patients with follow-up shorter than 3 months, the main results did not materially change. |
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Alternative models |
The primary conclusions remained consistent when alternative statistical models were applied. |
VIII. Non-significant and Trend Results (Commonly Used)
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Scenario |
Common Results Statements |
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Non-significant result |
No statistically significant difference in overall survival was observed between the two groups. |
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Trend |
A trend toward longer overall survival was observed in the pembrolizumab group. |
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Explanation |
This finding may be partly attributable to the limited sample size. |
IX. Summary Statements for the End of the Results Section
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Scenario |
Common Results Statements |
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Overall summary |
In summary, pembrolizumab demonstrated favorable efficacy and an acceptable safety profile in patients with non–small cell lung cancer. |
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Emphasis |
These findings support pembrolizumab as an effective treatment option for this patient population. |
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Transition |
These results provide a basis for further investigation of the long-term benefits of pembrolizumab. |