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Stock-Based Compensation Expense (Tables)
6 Months Ended
Jun. 30, 2019
Share-based Payment Arrangement [Abstract]  
Schedule of Employee Service Share-based Compensation, Allocation of Recognized Period Costs The stock-based compensation expense before income tax expense for the three and six months ended June 30, 2019 and 2018 consisted of the following (in thousands):
 
Three Months Ended June 30,
 
Six Months Ended June 30,
 
2019
 
2018
 
2019
 
2018
Cost of sales
$
355

 
$
232

 
$
607

 
$
416

Research and development
281

 
147

 
473

 
271

Selling, general and administrative
1,887

 
1,186

 
3,209

 
2,134

Stock-based compensation expense before taxes
$
2,523

 
$
1,565

 
$
4,289

 
$
2,821


Schedule of Share-based Payment Award, Stock Options, Valuation Assumptions In applying the Black-Scholes methodology to the option grants, the fair value of our stock-based awards granted was estimated using the following assumptions for the periods indicated below:

 
Six Months Ended June 30,
 
2019
 
2018
Risk-free interest rate
1.90% - 2.56%
 
2.63% - 2.77%
Expected option term
3.0 - 5.0 years
 
5.0 years
Expected dividend yield
 
Expected price volatility
28.66% - 33.69%
 
34.06% - 34.32%