Random Research Articles

Interictal stereo-electroencephalography features below 45 Hz are sufficient for correct localization of the epileptogenic zone and postsurgical outcome prediction.

Evidence suggests that the most promising results in interictal localization of the epileptogenic zone (EZ) are achieved by a combination of multiple stereo-electroencephalography (SEEG) biomarkers in machine learning models. These biomarkers usually include SEEG features calculated in standard frequency bands, but also high-frequency (HF) bands. Unfortunately, HF features require extra effort to record, store, and process. Here we investigate the added value of these HF features for EZ localization and postsurgical outcome prediction. In 50 patients we analyzed 30 min of SEEG recorded during non-rapid eye movement sleep and tested a logistic regression model with three different sets of features. The first model used broadband features (1-500 Hz); the second model used low-frequency features up to 45 Hz; and the third model used HF features above 65 Hz. The EZ localization by each model was evaluated by various metrics including the area under the precision-recall curve (AUPRC) and the positive predictive value (PPV). The differences between the models were tested by the Wilcoxon signed-rank tests and Cliff's Delta effect size. The differences in outcome predictions based on PPV values were further tested by the McNemar test. The AUPRC score of the random chance classifier was .098. The models (broad-band, low-frequency, high-frequency) achieved median AUPRCs of .608, .582, and .522, respectively, and correctly predicted outcomes in 38, 38, and 33 patients. There were no statistically significant differences in AUPRC or any other metric between the three models. Adding HF features to the model did not have any additional contribution. Low-frequency features are sufficient for correct localization of the EZ and outcome prediction with no additional value when considering HF features. This finding allows significant simplification of the feature calculation process and opens the possibility of using these models in SEEG recordings with lower sampling rates, as commonly performed in clinical routines.

Validity and Reliability of Wearable Sensors for Continuous Postoperative Vital Signs Monitoring in Patients Recovering from Trauma Surgery

(1) Background: Wearable sensors support healthcare professionals in clinical decision-making by measuring vital parameters such as heart rate (HR), respiration rate (RR), and blood oxygenation saturation (SpO2). This study assessed the validity and reliability of two types of wearable sensors, based on electrocardiogram or photoplethysmography, compared with continuous monitoring of patients recovering from trauma surgery at the postanesthesia care unit. (2) Methods: In a prospective observational study, HR, RR, SpO2, and temperature of patients were simultaneously recorded with the VitalPatch and Radius PPG and compared with reference monitoring. Outcome measures were formulated as correlation coefficient for validity and mean difference with 95% limits of agreement for reliability for four random data pairs and 30-min pairs per vital sign per patient. (3) Results: Included were 60 patients. Correlation coefficients for VitalPatch were 0.57 to 0.85 for HR and 0.08 to 0.16 for RR, and for Radius PPG, correlation coefficients were 0.60 to 0.83 for HR, 0.20 to 0.12 for RR, and 0.57 to 0.61 for SpO2. Both sensors presented mean differences within the cutoff values of acceptable difference. (4) Conclusions: Moderate to strong correlations for HR and SpO2 were demonstrated. Although mean differences were within acceptable cutoff values for all vital signs, only limits of agreement for HR measured by electrocardiography were considered clinically acceptable.

The INFLUENCE OF TEACHER COMPETENCY ON STUDENTS' LEARNING INTEREST

The conditions in the world of education, particularly in the role of teachers as teaching staff, have failed to meet expectations for teachers with competence in their field to realize the dream of national education goals in creating students with achievements and character who can make the community, nation, and state proud. The purpose of this study is to investigate the influence of Teacher Competency on Interest in Learning, determine how much influence Teacher Competency has on Interest in Learning, and examine techniques for enhancing students' interest in learning through Teacher Competency. The method employed is descriptive analysis, including random sampling and data gathering techniques that include observation and documentation. Meanwhile, the data analysis strategy employs the product moment correlation method. The research results showed that the correlation coefficient was 0.785, or 78.5%, while the termination coefficient was 0.617 or 61.7%.

MuTCELM: An optimal multi-TextCNN-based ensemble learning for text classification

Feature extraction plays a critical role in text classification, as it converts textual data into numerical representations suitable for machine learning models. A key challenge lies in effectively capturing both semantic and contextual information from text at various levels of granularity while avoiding overfitting. Prior methods have often demonstrated suboptimal performance, largely due to the limitations of the feature extraction techniques employed. To address these challenges, this study introduces Multi-TextCNN, an advanced feature extractor designed to capture essential textual information across multiple levels of granularity. Multi-TextCNN is integrated into a proposed classification model named MuTCELM, which aims to enhance text classification performance. The proposed MuTCELM leverages five distinct sub-classifiers, each designed to capture different linguistic features from the text data. These sub-classifiers are integrated into an ensemble framework, enhancing the overall model performance by combining their complementary strengths. Empirical results indicate that MuTCELM achieves average improvements across all datasets in accuracy, precision, recall, and F1-macro scores by 0.2584, 0.2546, 0.2668, and 0.2612, respectively, demonstrating significant performance gains over baseline models. These findings underscore the effectiveness of Multi-TextCNN in improving model performance relative to other ensemble methods. Further analysis reveals that the non-overlapping confidence intervals between MuTCELM and baseline models indicate statistically significant differences, suggesting that the observed performance improvements of MuTCELM are not attributable to random chance but are indeed statistically meaningful. This evidence indicates the robustness and superiority of MuTCELM across various languages and text classification tasks.

Green hotspots? Unveiling global hotspots and shifting trends in carbon credit projects

AbstractThis study examines the spatiotemporal patterns of verified carbon credit projects from 2004 to 2022, utilizing data from the Gold Standard Foundation (GSF) registry and employing spatial autocorrelation (Moran's I) and hot spot analysis (Getis‐Ord Gi*) in ArcGIS Pro. South Asia and East Africa emerged as key hotspots for carbon credit projects. Hotspots transitioned from China, Brazil, Peru, Panama, and Cambodia (2004–2016) to India, Kenya, Rwanda, and Uganda (2017–2022) with Turkey remaining a hotspot throughout the period. Overall, the analysis reveals a statistically significant Moran's I of 0.07 and a z‐score of 3.04, indicating spatial clustering of projects and a less than 1% likelihood that the clustering is a result of random chance. The spatial pattern and types of projects align with socio‐economic conditions and environmental protection objectives in different regions. Domestic energy efficiency projects are prevalent, such as improved cookstoves, biogas digesters, and borehole technologies for safe water access. These findings prompt the deduction that socio‐economic conditions wield substantial influence on investor preferences in carbon credit projects. Hence, the study contends that the overarching goal transcends mere carbon emissions mitigation; it extends to elevating the socio‐economic well‐being of local populations. By pinpointing geographical hotspots and elucidating temporal shifts, this study equips stakeholders with strategic insights into investment in carbon credit projects and highlights evolving investor interests in the carbon credit landscape, bridging the gap between environmental objectives and socio‐economic imperatives.

Development of an Inconsistent Responding Scale for the Big Five Inventory-2

The Big Five Inventory − 2 (BFI-2) is a commonly used self-report assessment of normal personality trait domains (Extraversion, Agreeableness, Conscientiousness, Negative Emotionality, Open-Mindedness) and facets. To date, however, no direct measures of response distortion have been developed for it to identify potentially invalid responses. Such distortions (e.g., careless or random responding) can adversely impact data quality. The current study developed and provided initial validation data for an inconsistent responding scale within the BFI-2 to identify careless responders using two large undergraduate samples and a community sample. To create the scale, we first identified highly correlated BFI-2 item pairs in one undergraduate sample (N = 1,461) and then computed a total score by summing the absolute differences of these item pairs. This scale, the Detection of Response Inconsistency Procedure (DRIP), differentiated randomly generated and genuine data and generally correlated as expected with personality domains and other inconsistent responding scales across samples. The DRIP also incrementally predicted random data beyond a composite of items with exceptionally high or low base rates of endorsement from the Comprehensive Infrequency/Frequency Item Repository. We provide recommendations for DRIP cut scores that can detect careless responding while balancing sensitivity and specificity.

Using latent class analysis to identify Finnish gambler types and potential risk

ABSTRACT The trend of increasing liberalization in gambling markets has been matched by a need for both effective approaches to promote responsible gambling practices and for improved prevention strategies. Given that the majority of players do not experience problematic gambling, it is in the public interest that knowledge is generated which helps identify activities or clusters of activities which are associated with at-risk behaviors. This study uses a representative sample of the Finnish population aged 15–74, to identify distinct types of gamblers based on their behavioral patterns and predictors of class membership via Latent Class Analysis. Cross-sectional random sample data were collected in 2019 (n = 3148). In addition to confirming existing knowledge for gamblers characterized by high engagement and high risk, it offered insights into three further classes: the largest (ME-HR, 45%), was characterized by moderate engagement, but participated in activities associated with higher levels of risk. Additionally, low-risk classes were differentiated by both gambling preferences and demographic characteristics. Given that the largest class was associated with significant potential for the development of problematic behaviors, this work makes several recommendations for preventative actions, including targeted awareness campaigns and psychoeducation addressing erroneous beliefs about gambling.

Comparative Analysis of K-Means and Divisive Clustering Techniques on Balanced Mental Health Data

Effective Clustering of mental health data can provide significant insights into patterns and relationships that are critical for understanding mental health conditions. This study investigated various clustering techniques applied to balanced mental health data to avoid biases associated with an imbalanced data. Clustering of the balanced mental health data was done with respect to the area of Residence feature. Firstly, Random undersampling and SMOTE techniques were incorporated to the imbalanced data set as balancing techniques so as to improve model performance. Random Undersampling Technique turned out to be the most ideal balancing technique with its accuracy, recall, precision and F-score values as 1. After balancing the data, two clustering techniques were applied to the Random Undersampled balanced data. The two techniques were namely: K-means and Divisive techniques. In order to select which of the two clustering techniques is ideal, two test statistics namely Internal Validation and Stability Validation were applied. Results showed that K-means clustering technique indicated slightly lower Average Propotion of None-overlap, Average Distance between Means and Figure Of Merit values given as 0.12, 0.41 and 0.9972 as compared to Divisive clustering technique which were 0.14, 0.42 and 0.9999. The conclusion was that K-means clustering has a better performance. This study's findings will help guide future researchers dealing with mental health data analysis on ways to improve model performance for better and more reliable predictions.

Gap filling of missing satellite data from MODIS and CMEMS for chlorophyll-a in the waters of Aceh, Indonesia

The motivation behind our study is to identify a robust method to enhance the accuracy of missing data, particularly chlorophyll-a data, which often goes undetected due to various factors. This study analyzes chlorophyll-a concentrations and sea level changes due to tides using three methods: Linear Interpolation, Fillgaps, and Modified Fillgaps. Two experiments were conducted: Experiment I involved random data removal (60% and 70%), and Experiment II combined sequential and random data removal (25% sequentially on the right, 35% and 45% randomly on the left). In Experiment I, the Modified Fillgaps method showed high correlation coefficients (up to 0.96) between original and reconstructed data, demonstrating its effectiveness in accurately filling significant data gaps. This method also exhibited low Root Mean Square Error and Mean Absolute Error values, confirming its predictive precision. In Experiment II, despite structured and realistic data loss patterns, the method maintained high correlation and low prediction errors, with low Normalized Root Mean Squared Error and Mean Absolute Percentage Error values, further validating its reliability. Additionally, the method excelled in two-dimensional chlorophyll-a maps, outperforming Linear Interpolation and Fillgaps methods in scenarios with 50% and 60% data loss, achieving higher correlation and lower prediction errors. These findings are crucial for environmental and climatological studies relying on satellite-derived data, confirming the Modified Fillgaps method as the most reliable and effective for handling significant data loss in chlorophyll-a map analyses. Future research should explore its application to other environmental data types and more complex data loss patterns.

RanBALL: An Ensemble Random Projection Model for Identifying Subtypes of B-cell Acute Lymphoblastic Leukemia.

As the most common pediatric malignancy, B-cell acute lymphoblastic leukemia (B-ALL) has multiple distinct subtypes characterized by recurrent and sporadic somatic and germline genetic alterations. Identification of B-ALL subtypes can facilitate risk stratification and enable tailored therapeutic approaches. Existing methods for B-ALL subtyping primarily depend on immunophenotypic, cytogenetic and genomic analyses, which would be costly, complicated, and laborious in clinical practice applications. To overcome these challenges, we present RanBALL (an Ensemble Ran dom Projection-Based Model for Identifying B -Cell A cute L ymphoblastic L eukemia Subtypes), an accurate and cost-effective model for B-ALL subtype identification based on transcriptomic profiling only. RanBALL leverages random projection (RP) to construct an ensemble of dimension-reduced multi-class support vector machine (SVM) classifiers for B-ALL subtyping. Results based on 100 times 5-fold cross validation tests for >1700 B-ALL patients demonstrated that the proposed model achieved an accuracy of 93.35%, indicating promising prediction capabilities of RanBALL for B-ALL subtyping. The high accuracies of RanBALL suggested that our model could effectively capture underlying patterns of transcriptomic profiling for accurate B-ALL subtype identification. We believe RanBALL will facilitate the discovery of B-ALL subtype-specific marker genes and therapeutic targets, and eventually have consequential positive impacts on downstream risk stratification and tailored treatment design.

Chemometrics and analytical blank on the at-line monitoring of Zika-VLP production using near-infrared spectroscopy

The Zika disease caused by the Zika virus was declared a Public Health Emergency by the World Health Union (WHO), with microcephaly as the most critical consequence. Aiming to reduce the spread of the virus, biopharmaceutical organizations invest in vaccine research and production, based on multiple platforms. A crescent vaccine production approach is based on virus-like particles (VLP), for not having genetic material in its composition, hypoallergenic and non-mutant character. For bioprocess, it is essential to have means of real-time monitoring, which can be assessed using process analysis techniques such as Near-infrared (NIR) spectroscopy, that can be combined with chemometric methods, like Partial-Least Squares (PLS) and Artificial Neural Networks (ANN) for prediction of biochemical variables. This work proposes a biochemical Zika VLP upstream production at-line monitoring model using NIR spectroscopy comparing sampling conditions (with or without cells), analytical blank (air, ultrapure water), and spectra pre-processing approaches. Seven experiments in a benchtop bioreactor using recombinant baculovirus/Sf9 insect cell platform in serum-free medium were performed to obtain biochemical and spectral data for chemometrics modeling (PLS and ANN), composed by a random data split (80 % calibration, 20 % validation) for cross-validation of the PLS models and 70 % training, 15 % testing, 15 % validation for ANN. The best models generated in the present work presented an average absolute error of 1.59 × 105 cell/mL for density of viable cells, 2.37 % for cell viability, 0.25 g/L for glucose, 0.007 g/L for lactate, 0.138 g/L for glutamine, 0.18 g/L for glutamate, 0,003 g/L for ammonium, and 0.014 g/L for potassium.

Statistically optimal firstorder algorithms: a proof via orthogonalization

Abstract We consider a class of statistical estimation problems in which we are given a random data matrix ${\boldsymbol{X}}\in{\mathbb{R}}^{n\times d}$ (and possibly some labels ${\boldsymbol{y}}\in{\mathbb{R}}^{n}$) and would like to estimate a coefficient vector ${\boldsymbol{\theta }}\in{\mathbb{R}}^{d}$ (or possibly a constant number of such vectors). Special cases include low-rank matrix estimation and regularized estimation in generalized linear models (e.g. sparse regression). Firstorder methods proceed by iteratively multiplying current estimates by ${\boldsymbol{X}}$ or its transpose. Examples include gradient descent or its accelerated variants. Under the assumption that the data matrix ${\boldsymbol{X}}$ is standard Gaussian, Celentano, Montanari, Wu (2020, Conference on Learning Theory, pp. 1078–1141. PMLR) proved that for any constant number of iterations (matrix vector multiplications), the optimal firstorder algorithm is a specific approximate message passing algorithm (known as ‘Bayes AMP’). The error of this estimator can be characterized in the high-dimensional asymptotics $n,d\to \infty $, $n/d\to \delta $, and provides a lower bound to the estimation error of any firstorder algorithm. Here we present a simpler proof of the same result, and generalize it to broader classes of data distributions and of firstorder algorithms, including algorithms with non-separable nonlinearities. Most importantly, the new proof is simpler, does not require to construct an equivalent tree-structured estimation problem, and is therefore susceptible of a broader range of applications.

Rank-transformed subsampling: inference for multiple data splitting and exchangeable p-values

Abstract Many testing problems are readily amenable to randomized tests, such as those employing data splitting. However, despite their usefulness in principle, randomized tests have obvious drawbacks. Firstly, two analyses of the same dataset may lead to different results. Secondly, the test typically loses power because it does not fully utilize the entire sample. As a remedy to these drawbacks, we study how to combine the test statistics or p-values resulting from multiple random realizations, such as through random data splits. We develop rank-transformed subsampling as a general method for delivering large-sample inference about the combined statistic or p-value under mild assumptions. We apply our methodology to a wide range of problems, including testing unimodality in high-dimensional data, testing goodness-of-fit of parametric quantile regression models, testing no direct effect in a sequentially randomized trial and calibrating cross-fit double machine learning confidence intervals. In contrast to existing p-value aggregation schemes that can be highly conservative, our method enjoys Type I error control that asymptotically approaches the nominal level. Moreover, compared to using the ordinary subsampling, we show that our rank transform can remove the first-order bias in approximating the null under alternatives and greatly improve power.

Partisipasi Masyarakat Dalam Mitigasi Bencana Banjir Di Nagari Durian Tinggi Kecamatan Lubuk Sikaping Kabupaten Pasaman

Disasters are events that threaten and disrupt people's lives and livelihoods caused by various factors resulting in casualties, environmental damage, property losses, etc. This study aims to determine 1) the level of participation, 2) information and communication in flood disaster mitigation efforts, 3) decisions and planning in flood disaster mitigation efforts. This type of research is Quantitative Descriptive using proportional random sampling data collection techniques using observation, interviews, questionnaires, and documentation. Then the data analysis technique uses percentage and Likert scale. The results of the study are: 1) The level of community participation in flood disaster mitigation efforts in Nagari Durian Tinggi, Lubuk Sikaping District, Pasaman Regency is good with a percentage of 69.36%. 2) community participation in information and communication of flood disaster mitigation efforts in Nagari Durian Tinggi, Lubuk Sikaping District, Pasaman Regency is good with a percentage of 70.27%. 3) Community participation in the decision-making and planning process in flood disaster mitigation efforts in Nagari Durian Tinggi, Lubuk Sikaping District, Pasaman Regency is good with a percentage of 70.02%.

Research on LSTM-Based Maneuvering Motion Prediction for USVs

Maneuvering motion prediction is central to the control and operation of ships, and the application of machine learning algorithms in this field is increasingly prevalent. However, challenges such as extensive training time, complex parameter tuning processes, and heavy reliance on mathematical models pose substantial obstacles to their application. To address these challenges, this paper proposes an LSTM-based modeling algorithm. First, a maneuvering motion model based on a real USV model was constructed, and typical operating conditions were simulated to obtain data. The Ornstein–Uhlenbeck process and the Hidden Markov Model were applied to the simulation data to generate noise and random data loss, respectively, thereby constructing a sample set that reflects real experiment characteristics. The sample data were then pre-processed for training, employing the MaxAbsScaler strategy for data normalization, Kalman filtering and RRF for data smoothing and noise reduction, and Lagrange interpolation for data resampling to enhance the robustness of the training data. Subsequently, based on the USV maneuvering motion model, an LSTM-based black-box motion prediction model was established. An in-depth comparative analysis and discussion of the model’s network structure and parameters were conducted, followed by the training of the ship maneuvering motion model using the optimized LSTM model. Generalization tests were then performed on a generalization set under Zigzag and turning conditions to validate the accuracy and generalization performance of the prediction model.

Asynchronous event‐triggered control for switched T–S fuzzy systems under dual‐channel hybrid cyber attacks

AbstractThis article presents an asynchronous event‐triggered scheme for switched Takagi–Sugeno (T–S) fuzzy systems against dual‐channel hybrid cyber attacks. Different from existing results, both sensor and controller channels are subjected to aperiodic denial‐of‐service attacks and random false data injection attacks. To efficiently utilize dual‐channel network communication resources while resisting hybrid attacks, two resilient event‐triggered mechanisms (ETMs) are constructed. Considering asynchronous ETMs and hybrid cyber attacks, the time‐delay switched T–S fuzzy system is derived by utilizing model transformation methods. Thereby, the stability conditions are derived by utilizing multiple Lyapunov functions technique, and slack matrices are introduced to further relax the conditions. Finally, two examples are given to demonstrate the effectiveness of the developed event‐based security control strategy.

Functional Principal Component Analysis as an Alternative to Mixed-Effect Models for Describing Sparse Repeated Measures in Presence of Missing Data.

Analyzing longitudinal data in health studies is challenging due to sparse and error-prone measurements, strong within-individual correlation, missing data and various trajectory shapes. While mixed-effect models (MM) effectively address these challenges, they remain parametric models and may incur computational costs. In contrast, functional principal component analysis (FPCA) is a non-parametric approach developed for regular and dense functional data that flexibly describes temporal trajectories at a potentially lower computational cost. This article presents an empirical simulation study evaluating the behavior of FPCA with sparse and error-prone repeated measures and its robustness under different missing data schemes in comparison with MM. The results show that FPCA is well-suited in the presence of missing at random data caused by dropout, except in scenarios involving most frequent and systematic dropout. Like MM, FPCA fails under missing not at random mechanism. The FPCA was applied to describe the trajectories of four cognitive functions before clinical dementia and contrast them with those of matched controls in a case-control study nested in a population-based aging cohort. The average cognitive declines of future dementia cases showed a sudden divergence from those of their matched controls with a sharp acceleration 5 to 2.5 years prior to diagnosis.

Integration of Modified Heston Model (Jump and Sentiment Factor) with Artificial Neural Networks (ANN) for Volatility Forecasting in Financial Markets

This study examined a new methodology for predicting volatility in financial markets by combining the modified Heston model (JSF) with Artificial Neural Networks (ANN). Forecasting volatility is essential in various financial contexts, such as risk management, option pricing and portfolio optimization. Although the traditional Heston model is effective but it does not account for additional elements like jumps and investor sentiment factors, which impact asset price dynamics. To address this limitation, the extended Heston model with jump and sentiment variables helped in enhancing its ability to capture complex market trends. We utilized ANN's predictive capabilities on the modified Heston model to improve volatility predictions using historical random market data from NASDAQ Composite. The ANN was trained on simulated data from the modified Heston model and assessed on its effectiveness in forecasting volatility. This approach helped in developing a forecasting hybrid semi-parametric model known as the modified-Heston-ANN model. Our findings revealed that this integrated approach outperformed the individual model, offering more precise and robust volatility predictions

Predicting the performance of lithium adsorption and recovery from unconventional water sources with machine learning

Selective lithium (Li) recovery from unconventional water sources (UWS) (e.g., shale gas waters, geothermal brines, and rejected seawater desalination brines) using inorganic lithium-ion sieve (LIS) materials can address Li supply shortages and distribution issues. However, the development of high-performance LIS materials and the optimization of recovery-related operating parameters are hampered by the variety of production methods, intricate procedures, and experimental expenses. Machine learning (ML) techniques offer potential solutions for enhancing LIS material development. We collected literature data on Li adsorption, categorizing 16 parameters into adsorbent parameters, operating parameters, and solution components. Three tree-based algorithms—Random Forest (RF), Gradient Boosting Decision Trees (GBDT), and Extreme Gradient Boosting (XGBoost)—were used to evaluate the impact of these parameters on lithium adsorption. The grouped random splitting method limited data leakage and mitigated overfitting. XGBoost demonstrated the best performance, with an R² of 0.98 and a root-mean-squared error (RMSE) of 1.72. The SHAP values highlighted that operating parameters were the most influential, followed by adsorbent parameters and coexisting ion concentrations. Therefore, focusing on optimizing operating parameters or making targeted improvements on LIS based on operating conditions will enhance LIS performances in UWS. These insights are crucial for optimizing Li adsorption processes and designing effective inorganic LIS materials.

Study of Bajra Production in Solapur District, India: An Economic Perspective

This study examined the economics of Bajra production in Solapur district between 2021-22 using primary data. The study employed stratified and purposive random sampling data technics to select 90 bajra farmers through the use of well-structured questionnaire. The result shows that per hectare cost of cultivation of Bajra at cost “C3” was the highest in large group i.e. 40023.95 followed by medium group Rs. 31095.14 and small group Rs. 26086.85. To estimate cost and returns in Bajra production was achieved by tabular analysis with cost concepts i.e., Cost A1, Cost A2, Cost B1, Cost B2, Cost C1, Cost C2, & Cost C3 percentage and output-input ratio was emphasized. Study of constraints and suggestion of Bajra grower in production and marketing of Bajra was achieved by applying frequency and percentage method. The average yield and gross returns per hectare increased with the increase in size of farms. The Input Output ratio of Bajra at “C3” was 1.22 in small group, 1.24 in medium group and 1.26 in large group. This indicates that, Cultivation of Bajra crop was economically profitable. The average main production was 275.89 qt/ha.